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Finding the Third Proportional to 59,120.50 and 86,952

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Solution

The third proportional to 59,120.50 and 86,952 is: 127,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,120.50 : 86,952 = 86,952 : x
  2. Step 2: Convert to fraction form
    59,120.50/86,952 = 86,952/x
  3. Step 3: Cross multiply
    59,120.50x = 86,952 × 86,952
  4. Step 4: Simplify right side
    59,120.50x = 7,560,650,304
  5. Step 5: Solve for x
    x = 7,560,650,304/59,120.50
  6. Step 6: Final answer
    x = 127,885.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.