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Finding the Third Proportional to 64,870 and 96,373

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Solution

The third proportional to 64,870 and 96,373 is: 143,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,870 : 96,373 = 96,373 : x
  2. Step 2: Convert to fraction form
    64,870/96,373 = 96,373/x
  3. Step 3: Cross multiply
    64,870x = 96,373 × 96,373
  4. Step 4: Simplify right side
    64,870x = 9,287,755,129
  5. Step 5: Solve for x
    x = 9,287,755,129/64,870
  6. Step 6: Final answer
    x = 143,174.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.