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Finding the Third Proportional to 31,334 and 66,160

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Solution

The third proportional to 31,334 and 66,160 is: 139,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,334 : 66,160 = 66,160 : x
  2. Step 2: Convert to fraction form
    31,334/66,160 = 66,160/x
  3. Step 3: Cross multiply
    31,334x = 66,160 × 66,160
  4. Step 4: Simplify right side
    31,334x = 4,377,145,600
  5. Step 5: Solve for x
    x = 4,377,145,600/31,334
  6. Step 6: Final answer
    x = 139,693.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.