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Finding the Third Proportional to 79,732 and 123,377

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Solution

The third proportional to 79,732 and 123,377 is: 190,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,732 : 123,377 = 123,377 : x
  2. Step 2: Convert to fraction form
    79,732/123,377 = 123,377/x
  3. Step 3: Cross multiply
    79,732x = 123,377 × 123,377
  4. Step 4: Simplify right side
    79,732x = 15,221,884,129
  5. Step 5: Solve for x
    x = 15,221,884,129/79,732
  6. Step 6: Final answer
    x = 190,913.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.