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Finding the Third Proportional to 31,617 and 66,157

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Solution

The third proportional to 31,617 and 66,157 is: 138,430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,617 : 66,157 = 66,157 : x
  2. Step 2: Convert to fraction form
    31,617/66,157 = 66,157/x
  3. Step 3: Cross multiply
    31,617x = 66,157 × 66,157
  4. Step 4: Simplify right side
    31,617x = 4,376,748,649
  5. Step 5: Solve for x
    x = 4,376,748,649/31,617
  6. Step 6: Final answer
    x = 138,430.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.