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Finding the Third Proportional to 61,461 and 132,642

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Solution

The third proportional to 61,461 and 132,642 is: 286,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,461 : 132,642 = 132,642 : x
  2. Step 2: Convert to fraction form
    61,461/132,642 = 132,642/x
  3. Step 3: Cross multiply
    61,461x = 132,642 × 132,642
  4. Step 4: Simplify right side
    61,461x = 17,593,900,164
  5. Step 5: Solve for x
    x = 17,593,900,164/61,461
  6. Step 6: Final answer
    x = 286,261.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.