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Finding the Third Proportional to 124,359.05 and 266,462.16

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Solution

The third proportional to 124,359.05 and 266,462.16 is: 570,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,359.05 : 266,462.16 = 266,462.16 : x
  2. Step 2: Convert to fraction form
    124,359.05/266,462.16 = 266,462.16/x
  3. Step 3: Cross multiply
    124,359.05x = 266,462.16 × 266,462.16
  4. Step 4: Simplify right side
    124,359.05x = 71,002,080,713.40
  5. Step 5: Solve for x
    x = 71,002,080,713.40/124,359.05
  6. Step 6: Final answer
    x = 570,944.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.