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Finding the Third Proportional to 61,048 and 87,134

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Solution

The third proportional to 61,048 and 87,134 is: 124,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,048 : 87,134 = 87,134 : x
  2. Step 2: Convert to fraction form
    61,048/87,134 = 87,134/x
  3. Step 3: Cross multiply
    61,048x = 87,134 × 87,134
  4. Step 4: Simplify right side
    61,048x = 7,592,333,956
  5. Step 5: Solve for x
    x = 7,592,333,956/61,048
  6. Step 6: Final answer
    x = 124,366.63

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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.