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Finding the Third Proportional to 84,771 and 124,564

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Solution

The third proportional to 84,771 and 124,564 is: 183,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,771 : 124,564 = 124,564 : x
  2. Step 2: Convert to fraction form
    84,771/124,564 = 124,564/x
  3. Step 3: Cross multiply
    84,771x = 124,564 × 124,564
  4. Step 4: Simplify right side
    84,771x = 15,516,190,096
  5. Step 5: Solve for x
    x = 15,516,190,096/84,771
  6. Step 6: Final answer
    x = 183,036.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.