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Finding the Third Proportional to 58,542 and 124,050

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Solution

The third proportional to 58,542 and 124,050 is: 262,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,542 : 124,050 = 124,050 : x
  2. Step 2: Convert to fraction form
    58,542/124,050 = 124,050/x
  3. Step 3: Cross multiply
    58,542x = 124,050 × 124,050
  4. Step 4: Simplify right side
    58,542x = 15,388,402,500
  5. Step 5: Solve for x
    x = 15,388,402,500/58,542
  6. Step 6: Final answer
    x = 262,860.89

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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.