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Finding the Third Proportional to 61,677 and 132,957

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Solution

The third proportional to 61,677 and 132,957 is: 286,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,677 : 132,957 = 132,957 : x
  2. Step 2: Convert to fraction form
    61,677/132,957 = 132,957/x
  3. Step 3: Cross multiply
    61,677x = 132,957 × 132,957
  4. Step 4: Simplify right side
    61,677x = 17,677,563,849
  5. Step 5: Solve for x
    x = 17,677,563,849/61,677
  6. Step 6: Final answer
    x = 286,615.17

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Why These Related Problems?

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