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Finding the Third Proportional to 61,680 and 88,138

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Solution

The third proportional to 61,680 and 88,138 is: 125,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,680 : 88,138 = 88,138 : x
  2. Step 2: Convert to fraction form
    61,680/88,138 = 88,138/x
  3. Step 3: Cross multiply
    61,680x = 88,138 × 88,138
  4. Step 4: Simplify right side
    61,680x = 7,768,307,044
  5. Step 5: Solve for x
    x = 7,768,307,044/61,680
  6. Step 6: Final answer
    x = 125,945.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.