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Finding the Third Proportional to 44,567.25 and 97,131

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Solution

The third proportional to 44,567.25 and 97,131 is: 211,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,567.25 : 97,131 = 97,131 : x
  2. Step 2: Convert to fraction form
    44,567.25/97,131 = 97,131/x
  3. Step 3: Cross multiply
    44,567.25x = 97,131 × 97,131
  4. Step 4: Simplify right side
    44,567.25x = 9,434,431,161
  5. Step 5: Solve for x
    x = 9,434,431,161/44,567.25
  6. Step 6: Final answer
    x = 211,689.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.