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Finding the Third Proportional to 82,924 and 127,533

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Solution

The third proportional to 82,924 and 127,533 is: 196,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,924 : 127,533 = 127,533 : x
  2. Step 2: Convert to fraction form
    82,924/127,533 = 127,533/x
  3. Step 3: Cross multiply
    82,924x = 127,533 × 127,533
  4. Step 4: Simplify right side
    82,924x = 16,264,666,089
  5. Step 5: Solve for x
    x = 16,264,666,089/82,924
  6. Step 6: Final answer
    x = 196,139.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.