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Finding the Third Proportional to 59,024 and 88,344

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Solution

The third proportional to 59,024 and 88,344 is: 132,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,024 : 88,344 = 88,344 : x
  2. Step 2: Convert to fraction form
    59,024/88,344 = 88,344/x
  3. Step 3: Cross multiply
    59,024x = 88,344 × 88,344
  4. Step 4: Simplify right side
    59,024x = 7,804,662,336
  5. Step 5: Solve for x
    x = 7,804,662,336/59,024
  6. Step 6: Final answer
    x = 132,228.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.