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Finding the Third Proportional to 60,966 and 89,810

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Solution

The third proportional to 60,966 and 89,810 is: 132,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,966 : 89,810 = 89,810 : x
  2. Step 2: Convert to fraction form
    60,966/89,810 = 89,810/x
  3. Step 3: Cross multiply
    60,966x = 89,810 × 89,810
  4. Step 4: Simplify right side
    60,966x = 8,065,836,100
  5. Step 5: Solve for x
    x = 8,065,836,100/60,966
  6. Step 6: Final answer
    x = 132,300.56

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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.