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Finding the Third Proportional to 91,924 and 133,747

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Solution

The third proportional to 91,924 and 133,747 is: 194,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,924 : 133,747 = 133,747 : x
  2. Step 2: Convert to fraction form
    91,924/133,747 = 133,747/x
  3. Step 3: Cross multiply
    91,924x = 133,747 × 133,747
  4. Step 4: Simplify right side
    91,924x = 17,888,260,009
  5. Step 5: Solve for x
    x = 17,888,260,009/91,924
  6. Step 6: Final answer
    x = 194,598.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.