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Finding the Third Proportional to 97,204 and 124,209

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Solution

The third proportional to 97,204 and 124,209 is: 158,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,204 : 124,209 = 124,209 : x
  2. Step 2: Convert to fraction form
    97,204/124,209 = 124,209/x
  3. Step 3: Cross multiply
    97,204x = 124,209 × 124,209
  4. Step 4: Simplify right side
    97,204x = 15,427,875,681
  5. Step 5: Solve for x
    x = 15,427,875,681/97,204
  6. Step 6: Final answer
    x = 158,716.47

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.