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Finding the Third Proportional to 60,962 and 89,066

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Solution

The third proportional to 60,962 and 89,066 is: 130,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,962 : 89,066 = 89,066 : x
  2. Step 2: Convert to fraction form
    60,962/89,066 = 89,066/x
  3. Step 3: Cross multiply
    60,962x = 89,066 × 89,066
  4. Step 4: Simplify right side
    60,962x = 7,932,752,356
  5. Step 5: Solve for x
    x = 7,932,752,356/60,962
  6. Step 6: Final answer
    x = 130,126.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.