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Finding the Third Proportional to 60,988 and 132,664

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Solution

The third proportional to 60,988 and 132,664 is: 288,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,988 : 132,664 = 132,664 : x
  2. Step 2: Convert to fraction form
    60,988/132,664 = 132,664/x
  3. Step 3: Cross multiply
    60,988x = 132,664 × 132,664
  4. Step 4: Simplify right side
    60,988x = 17,599,736,896
  5. Step 5: Solve for x
    x = 17,599,736,896/60,988
  6. Step 6: Final answer
    x = 288,577.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.