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Finding the Third Proportional to 59,978 and 88,023

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Solution

The third proportional to 59,978 and 88,023 is: 129,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,978 : 88,023 = 88,023 : x
  2. Step 2: Convert to fraction form
    59,978/88,023 = 88,023/x
  3. Step 3: Cross multiply
    59,978x = 88,023 × 88,023
  4. Step 4: Simplify right side
    59,978x = 7,748,048,529
  5. Step 5: Solve for x
    x = 7,748,048,529/59,978
  6. Step 6: Final answer
    x = 129,181.51

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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.