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Finding the Third Proportional to 31,374 and 72,603

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Solution

The third proportional to 31,374 and 72,603 is: 168,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374 : 72,603 = 72,603 : x
  2. Step 2: Convert to fraction form
    31,374/72,603 = 72,603/x
  3. Step 3: Cross multiply
    31,374x = 72,603 × 72,603
  4. Step 4: Simplify right side
    31,374x = 5,271,195,609
  5. Step 5: Solve for x
    x = 5,271,195,609/31,374
  6. Step 6: Final answer
    x = 168,011.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.