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Finding the Third Proportional to 57,988 and 88,854

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Solution

The third proportional to 57,988 and 88,854 is: 136,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,988 : 88,854 = 88,854 : x
  2. Step 2: Convert to fraction form
    57,988/88,854 = 88,854/x
  3. Step 3: Cross multiply
    57,988x = 88,854 × 88,854
  4. Step 4: Simplify right side
    57,988x = 7,895,033,316
  5. Step 5: Solve for x
    x = 7,895,033,316/57,988
  6. Step 6: Final answer
    x = 136,149.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.