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Finding the Third Proportional to 31,132 and 63,224

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Solution

The third proportional to 31,132 and 63,224 is: 128,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,132 : 63,224 = 63,224 : x
  2. Step 2: Convert to fraction form
    31,132/63,224 = 63,224/x
  3. Step 3: Cross multiply
    31,132x = 63,224 × 63,224
  4. Step 4: Simplify right side
    31,132x = 3,997,274,176
  5. Step 5: Solve for x
    x = 3,997,274,176/31,132
  6. Step 6: Final answer
    x = 128,397.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.