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Finding the Third Proportional to 57,370 and 88,612

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Solution

The third proportional to 57,370 and 88,612 is: 136,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,370 : 88,612 = 88,612 : x
  2. Step 2: Convert to fraction form
    57,370/88,612 = 88,612/x
  3. Step 3: Cross multiply
    57,370x = 88,612 × 88,612
  4. Step 4: Simplify right side
    57,370x = 7,852,086,544
  5. Step 5: Solve for x
    x = 7,852,086,544/57,370
  6. Step 6: Final answer
    x = 136,867.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.