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Finding the Third Proportional to 58,520 and 124,012

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Solution

The third proportional to 58,520 and 124,012 is: 262,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,520 : 124,012 = 124,012 : x
  2. Step 2: Convert to fraction form
    58,520/124,012 = 124,012/x
  3. Step 3: Cross multiply
    58,520x = 124,012 × 124,012
  4. Step 4: Simplify right side
    58,520x = 15,378,976,144
  5. Step 5: Solve for x
    x = 15,378,976,144/58,520
  6. Step 6: Final answer
    x = 262,798.64

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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.