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Finding the Third Proportional to 97,496 and 142,551

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Solution

The third proportional to 97,496 and 142,551 is: 208,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,496 : 142,551 = 142,551 : x
  2. Step 2: Convert to fraction form
    97,496/142,551 = 142,551/x
  3. Step 3: Cross multiply
    97,496x = 142,551 × 142,551
  4. Step 4: Simplify right side
    97,496x = 20,320,787,601
  5. Step 5: Solve for x
    x = 20,320,787,601/97,496
  6. Step 6: Final answer
    x = 208,426.89

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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.