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Finding the Third Proportional to 31,159.50 and 66,207

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Solution

The third proportional to 31,159.50 and 66,207 is: 140,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.50 : 66,207 = 66,207 : x
  2. Step 2: Convert to fraction form
    31,159.50/66,207 = 66,207/x
  3. Step 3: Cross multiply
    31,159.50x = 66,207 × 66,207
  4. Step 4: Simplify right side
    31,159.50x = 4,383,366,849
  5. Step 5: Solve for x
    x = 4,383,366,849/31,159.50
  6. Step 6: Final answer
    x = 140,675.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.