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Finding the Third Proportional to 123,727.50 and 249,373.69

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Solution

The third proportional to 123,727.50 and 249,373.69 is: 502,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,727.50 : 249,373.69 = 249,373.69 : x
  2. Step 2: Convert to fraction form
    123,727.50/249,373.69 = 249,373.69/x
  3. Step 3: Cross multiply
    123,727.50x = 249,373.69 × 249,373.69
  4. Step 4: Simplify right side
    123,727.50x = 62,187,236,017.35
  5. Step 5: Solve for x
    x = 62,187,236,017.35/123,727.50
  6. Step 6: Final answer
    x = 502,614.50

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.