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Finding the Third Proportional to 96,052 and 154,330

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Solution

The third proportional to 96,052 and 154,330 is: 247,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,052 : 154,330 = 154,330 : x
  2. Step 2: Convert to fraction form
    96,052/154,330 = 154,330/x
  3. Step 3: Cross multiply
    96,052x = 154,330 × 154,330
  4. Step 4: Simplify right side
    96,052x = 23,817,748,900
  5. Step 5: Solve for x
    x = 23,817,748,900/96,052
  6. Step 6: Final answer
    x = 247,967.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.