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Finding the Third Proportional to 61,676 and 132,088

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Solution

The third proportional to 61,676 and 132,088 is: 282,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,676 : 132,088 = 132,088 : x
  2. Step 2: Convert to fraction form
    61,676/132,088 = 132,088/x
  3. Step 3: Cross multiply
    61,676x = 132,088 × 132,088
  4. Step 4: Simplify right side
    61,676x = 17,447,239,744
  5. Step 5: Solve for x
    x = 17,447,239,744/61,676
  6. Step 6: Final answer
    x = 282,885.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.