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Finding the Third Proportional to 75,701.25 and 164,281.13

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Solution

The third proportional to 75,701.25 and 164,281.13 is: 356,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,701.25 : 164,281.13 = 164,281.13 : x
  2. Step 2: Convert to fraction form
    75,701.25/164,281.13 = 164,281.13/x
  3. Step 3: Cross multiply
    75,701.25x = 164,281.13 × 164,281.13
  4. Step 4: Simplify right side
    75,701.25x = 26,988,288,031.27
  5. Step 5: Solve for x
    x = 26,988,288,031.27/75,701.25
  6. Step 6: Final answer
    x = 356,510.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.