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Finding the Third Proportional to 57,354 and 88,587

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Solution

The third proportional to 57,354 and 88,587 is: 136,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,354 : 88,587 = 88,587 : x
  2. Step 2: Convert to fraction form
    57,354/88,587 = 88,587/x
  3. Step 3: Cross multiply
    57,354x = 88,587 × 88,587
  4. Step 4: Simplify right side
    57,354x = 7,847,656,569
  5. Step 5: Solve for x
    x = 7,847,656,569/57,354
  6. Step 6: Final answer
    x = 136,828.41

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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.