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Finding the Third Proportional to 107,940 and 235,532

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Solution

The third proportional to 107,940 and 235,532 is: 513,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,940 : 235,532 = 235,532 : x
  2. Step 2: Convert to fraction form
    107,940/235,532 = 235,532/x
  3. Step 3: Cross multiply
    107,940x = 235,532 × 235,532
  4. Step 4: Simplify right side
    107,940x = 55,475,323,024
  5. Step 5: Solve for x
    x = 55,475,323,024/107,940
  6. Step 6: Final answer
    x = 513,945.92

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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.