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Finding the Third Proportional to 107,472 and 235,712

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Solution

The third proportional to 107,472 and 235,712 is: 516,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,472 : 235,712 = 235,712 : x
  2. Step 2: Convert to fraction form
    107,472/235,712 = 235,712/x
  3. Step 3: Cross multiply
    107,472x = 235,712 × 235,712
  4. Step 4: Simplify right side
    107,472x = 55,560,146,944
  5. Step 5: Solve for x
    x = 55,560,146,944/107,472
  6. Step 6: Final answer
    x = 516,973.23

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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.