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Finding the Third Proportional to 61,008 and 89,532

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Solution

The third proportional to 61,008 and 89,532 is: 131,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,008 : 89,532 = 89,532 : x
  2. Step 2: Convert to fraction form
    61,008/89,532 = 89,532/x
  3. Step 3: Cross multiply
    61,008x = 89,532 × 89,532
  4. Step 4: Simplify right side
    61,008x = 8,015,979,024
  5. Step 5: Solve for x
    x = 8,015,979,024/61,008
  6. Step 6: Final answer
    x = 131,392.26

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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.