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Finding the Third Proportional to 58,590 and 124,950

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Solution

The third proportional to 58,590 and 124,950 is: 266,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,590 : 124,950 = 124,950 : x
  2. Step 2: Convert to fraction form
    58,590/124,950 = 124,950/x
  3. Step 3: Cross multiply
    58,590x = 124,950 × 124,950
  4. Step 4: Simplify right side
    58,590x = 15,612,502,500
  5. Step 5: Solve for x
    x = 15,612,502,500/58,590
  6. Step 6: Final answer
    x = 266,470.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.