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Finding the Third Proportional to 107,767 and 235,919

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Solution

The third proportional to 107,767 and 235,919 is: 516,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,767 : 235,919 = 235,919 : x
  2. Step 2: Convert to fraction form
    107,767/235,919 = 235,919/x
  3. Step 3: Cross multiply
    107,767x = 235,919 × 235,919
  4. Step 4: Simplify right side
    107,767x = 55,657,774,561
  5. Step 5: Solve for x
    x = 55,657,774,561/107,767
  6. Step 6: Final answer
    x = 516,463.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.