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Finding the Third Proportional to 60,549 and 94,502

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Solution

The third proportional to 60,549 and 94,502 is: 147,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,549 : 94,502 = 94,502 : x
  2. Step 2: Convert to fraction form
    60,549/94,502 = 94,502/x
  3. Step 3: Cross multiply
    60,549x = 94,502 × 94,502
  4. Step 4: Simplify right side
    60,549x = 8,930,628,004
  5. Step 5: Solve for x
    x = 8,930,628,004/60,549
  6. Step 6: Final answer
    x = 147,494.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.