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Finding the Third Proportional to 58,720 and 124,731

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Solution

The third proportional to 58,720 and 124,731 is: 264,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,720 : 124,731 = 124,731 : x
  2. Step 2: Convert to fraction form
    58,720/124,731 = 124,731/x
  3. Step 3: Cross multiply
    58,720x = 124,731 × 124,731
  4. Step 4: Simplify right side
    58,720x = 15,557,822,361
  5. Step 5: Solve for x
    x = 15,557,822,361/58,720
  6. Step 6: Final answer
    x = 264,949.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.