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Finding the Third Proportional to 31,154 and 66,386

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Solution

The third proportional to 31,154 and 66,386 is: 141,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154 : 66,386 = 66,386 : x
  2. Step 2: Convert to fraction form
    31,154/66,386 = 66,386/x
  3. Step 3: Cross multiply
    31,154x = 66,386 × 66,386
  4. Step 4: Simplify right side
    31,154x = 4,407,100,996
  5. Step 5: Solve for x
    x = 4,407,100,996/31,154
  6. Step 6: Final answer
    x = 141,461.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.