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Finding the Third Proportional to 59,952 and 86,359.50

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Solution

The third proportional to 59,952 and 86,359.50 is: 124,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,952 : 86,359.50 = 86,359.50 : x
  2. Step 2: Convert to fraction form
    59,952/86,359.50 = 86,359.50/x
  3. Step 3: Cross multiply
    59,952x = 86,359.50 × 86,359.50
  4. Step 4: Simplify right side
    59,952x = 7,457,963,240.25
  5. Step 5: Solve for x
    x = 7,457,963,240.25/59,952
  6. Step 6: Final answer
    x = 124,398.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.