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Finding the Third Proportional to 102,292.88 and 158,638.50

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Solution

The third proportional to 102,292.88 and 158,638.50 is: 246,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,292.88 : 158,638.50 = 158,638.50 : x
  2. Step 2: Convert to fraction form
    102,292.88/158,638.50 = 158,638.50/x
  3. Step 3: Cross multiply
    102,292.88x = 158,638.50 × 158,638.50
  4. Step 4: Simplify right side
    102,292.88x = 25,166,173,682.25
  5. Step 5: Solve for x
    x = 25,166,173,682.25/102,292.88
  6. Step 6: Final answer
    x = 246,020.79

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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.