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Finding the Third Proportional to 58,766 and 89,527

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Solution

The third proportional to 58,766 and 89,527 is: 136,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,766 : 89,527 = 89,527 : x
  2. Step 2: Convert to fraction form
    58,766/89,527 = 89,527/x
  3. Step 3: Cross multiply
    58,766x = 89,527 × 89,527
  4. Step 4: Simplify right side
    58,766x = 8,015,083,729
  5. Step 5: Solve for x
    x = 8,015,083,729/58,766
  6. Step 6: Final answer
    x = 136,389.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.