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Finding the Third Proportional to 61,062 and 132,492

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Solution

The third proportional to 61,062 and 132,492 is: 287,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,062 : 132,492 = 132,492 : x
  2. Step 2: Convert to fraction form
    61,062/132,492 = 132,492/x
  3. Step 3: Cross multiply
    61,062x = 132,492 × 132,492
  4. Step 4: Simplify right side
    61,062x = 17,554,130,064
  5. Step 5: Solve for x
    x = 17,554,130,064/61,062
  6. Step 6: Final answer
    x = 287,480.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.