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Finding the Third Proportional to 60,677 and 89,031

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Solution

The third proportional to 60,677 and 89,031 is: 130,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,677 : 89,031 = 89,031 : x
  2. Step 2: Convert to fraction form
    60,677/89,031 = 89,031/x
  3. Step 3: Cross multiply
    60,677x = 89,031 × 89,031
  4. Step 4: Simplify right side
    60,677x = 7,926,518,961
  5. Step 5: Solve for x
    x = 7,926,518,961/60,677
  6. Step 6: Final answer
    x = 130,634.65

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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.