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Finding the Third Proportional to 67,500 and 97,578

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Solution

The third proportional to 67,500 and 97,578 is: 141,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,500 : 97,578 = 97,578 : x
  2. Step 2: Convert to fraction form
    67,500/97,578 = 97,578/x
  3. Step 3: Cross multiply
    67,500x = 97,578 × 97,578
  4. Step 4: Simplify right side
    67,500x = 9,521,466,084
  5. Step 5: Solve for x
    x = 9,521,466,084/67,500
  6. Step 6: Final answer
    x = 141,058.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.