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Finding the Third Proportional to 107,901 and 235,566

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Solution

The third proportional to 107,901 and 235,566 is: 514,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,901 : 235,566 = 235,566 : x
  2. Step 2: Convert to fraction form
    107,901/235,566 = 235,566/x
  3. Step 3: Cross multiply
    107,901x = 235,566 × 235,566
  4. Step 4: Simplify right side
    107,901x = 55,491,340,356
  5. Step 5: Solve for x
    x = 55,491,340,356/107,901
  6. Step 6: Final answer
    x = 514,280.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.