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Finding the Third Proportional to 96,068.50 and 153,472

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Solution

The third proportional to 96,068.50 and 153,472 is: 245,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,068.50 : 153,472 = 153,472 : x
  2. Step 2: Convert to fraction form
    96,068.50/153,472 = 153,472/x
  3. Step 3: Cross multiply
    96,068.50x = 153,472 × 153,472
  4. Step 4: Simplify right side
    96,068.50x = 23,553,654,784
  5. Step 5: Solve for x
    x = 23,553,654,784/96,068.50
  6. Step 6: Final answer
    x = 245,175.63

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.