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Finding the Third Proportional to 57,264 and 88,488

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Solution

The third proportional to 57,264 and 88,488 is: 136,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,264 : 88,488 = 88,488 : x
  2. Step 2: Convert to fraction form
    57,264/88,488 = 88,488/x
  3. Step 3: Cross multiply
    57,264x = 88,488 × 88,488
  4. Step 4: Simplify right side
    57,264x = 7,830,126,144
  5. Step 5: Solve for x
    x = 7,830,126,144/57,264
  6. Step 6: Final answer
    x = 136,737.32

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