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Finding the Third Proportional to 91,753 and 129,209

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Solution

The third proportional to 91,753 and 129,209 is: 181,955.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,753 : 129,209 = 129,209 : x
  2. Step 2: Convert to fraction form
    91,753/129,209 = 129,209/x
  3. Step 3: Cross multiply
    91,753x = 129,209 × 129,209
  4. Step 4: Simplify right side
    91,753x = 16,694,965,681
  5. Step 5: Solve for x
    x = 16,694,965,681/91,753
  6. Step 6: Final answer
    x = 181,955.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.