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Finding the Third Proportional to 57,175 and 76,382

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Solution

The third proportional to 57,175 and 76,382 is: 102,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,175 : 76,382 = 76,382 : x
  2. Step 2: Convert to fraction form
    57,175/76,382 = 76,382/x
  3. Step 3: Cross multiply
    57,175x = 76,382 × 76,382
  4. Step 4: Simplify right side
    57,175x = 5,834,209,924
  5. Step 5: Solve for x
    x = 5,834,209,924/57,175
  6. Step 6: Final answer
    x = 102,041.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.