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Finding the Third Proportional to 57,220 and 88,598

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Solution

The third proportional to 57,220 and 88,598 is: 137,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,220 : 88,598 = 88,598 : x
  2. Step 2: Convert to fraction form
    57,220/88,598 = 88,598/x
  3. Step 3: Cross multiply
    57,220x = 88,598 × 88,598
  4. Step 4: Simplify right side
    57,220x = 7,849,605,604
  5. Step 5: Solve for x
    x = 7,849,605,604/57,220
  6. Step 6: Final answer
    x = 137,182.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.