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Finding the Third Proportional to 107,836.31 and 163,265.63

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Solution

The third proportional to 107,836.31 and 163,265.63 is: 247,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,836.31 : 163,265.63 = 163,265.63 : x
  2. Step 2: Convert to fraction form
    107,836.31/163,265.63 = 163,265.63/x
  3. Step 3: Cross multiply
    107,836.31x = 163,265.63 × 163,265.63
  4. Step 4: Simplify right side
    107,836.31x = 26,655,664,306.64
  5. Step 5: Solve for x
    x = 26,655,664,306.64/107,836.31
  6. Step 6: Final answer
    x = 247,186.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.