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Finding the Third Proportional to 81,145 and 124,802

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Solution

The third proportional to 81,145 and 124,802 is: 191,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,145 : 124,802 = 124,802 : x
  2. Step 2: Convert to fraction form
    81,145/124,802 = 124,802/x
  3. Step 3: Cross multiply
    81,145x = 124,802 × 124,802
  4. Step 4: Simplify right side
    81,145x = 15,575,539,204
  5. Step 5: Solve for x
    x = 15,575,539,204/81,145
  6. Step 6: Final answer
    x = 191,947.00

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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.