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Finding the Third Proportional to 59,810 and 96,366

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Solution

The third proportional to 59,810 and 96,366 is: 155,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,810 : 96,366 = 96,366 : x
  2. Step 2: Convert to fraction form
    59,810/96,366 = 96,366/x
  3. Step 3: Cross multiply
    59,810x = 96,366 × 96,366
  4. Step 4: Simplify right side
    59,810x = 9,286,405,956
  5. Step 5: Solve for x
    x = 9,286,405,956/59,810
  6. Step 6: Final answer
    x = 155,265.11

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