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Finding the Third Proportional to 124,767.84 and 270,554.91

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Solution

The third proportional to 124,767.84 and 270,554.91 is: 586,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,767.84 : 270,554.91 = 270,554.91 : x
  2. Step 2: Convert to fraction form
    124,767.84/270,554.91 = 270,554.91/x
  3. Step 3: Cross multiply
    124,767.84x = 270,554.91 × 270,554.91
  4. Step 4: Simplify right side
    124,767.84x = 73,199,957,295.95
  5. Step 5: Solve for x
    x = 73,199,957,295.95/124,767.84
  6. Step 6: Final answer
    x = 586,689.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.