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Finding the Third Proportional to 59,339 and 89,020

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Solution

The third proportional to 59,339 and 89,020 is: 133,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,339 : 89,020 = 89,020 : x
  2. Step 2: Convert to fraction form
    59,339/89,020 = 89,020/x
  3. Step 3: Cross multiply
    59,339x = 89,020 × 89,020
  4. Step 4: Simplify right side
    59,339x = 7,924,560,400
  5. Step 5: Solve for x
    x = 7,924,560,400/59,339
  6. Step 6: Final answer
    x = 133,547.25

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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.