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Finding the Third Proportional to 57,602 and 91,587

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Solution

The third proportional to 57,602 and 91,587 is: 145,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,602 : 91,587 = 91,587 : x
  2. Step 2: Convert to fraction form
    57,602/91,587 = 91,587/x
  3. Step 3: Cross multiply
    57,602x = 91,587 × 91,587
  4. Step 4: Simplify right side
    57,602x = 8,388,178,569
  5. Step 5: Solve for x
    x = 8,388,178,569/57,602
  6. Step 6: Final answer
    x = 145,623.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.