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Finding the Third Proportional to 97,494 and 142,548

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Solution

The third proportional to 97,494 and 142,548 is: 208,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,494 : 142,548 = 142,548 : x
  2. Step 2: Convert to fraction form
    97,494/142,548 = 142,548/x
  3. Step 3: Cross multiply
    97,494x = 142,548 × 142,548
  4. Step 4: Simplify right side
    97,494x = 20,319,932,304
  5. Step 5: Solve for x
    x = 20,319,932,304/97,494
  6. Step 6: Final answer
    x = 208,422.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.