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Finding the Third Proportional to 124,750.13 and 282,812.13

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Solution

The third proportional to 124,750.13 and 282,812.13 is: 641,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,750.13 : 282,812.13 = 282,812.13 : x
  2. Step 2: Convert to fraction form
    124,750.13/282,812.13 = 282,812.13/x
  3. Step 3: Cross multiply
    124,750.13x = 282,812.13 × 282,812.13
  4. Step 4: Simplify right side
    124,750.13x = 79,982,702,465.96
  5. Step 5: Solve for x
    x = 79,982,702,465.96/124,750.13
  6. Step 6: Final answer
    x = 641,143.27

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.