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Finding the Third Proportional to 102,011.59 and 158,489.16

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Solution

The third proportional to 102,011.59 and 158,489.16 is: 246,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,011.59 : 158,489.16 = 158,489.16 : x
  2. Step 2: Convert to fraction form
    102,011.59/158,489.16 = 158,489.16/x
  3. Step 3: Cross multiply
    102,011.59x = 158,489.16 × 158,489.16
  4. Step 4: Simplify right side
    102,011.59x = 25,118,812,648.84
  5. Step 5: Solve for x
    x = 25,118,812,648.84/102,011.59
  6. Step 6: Final answer
    x = 246,234.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.