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Finding the Third Proportional to 108,913.50 and 175,461.75

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Solution

The third proportional to 108,913.50 and 175,461.75 is: 282,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,913.50 : 175,461.75 = 175,461.75 : x
  2. Step 2: Convert to fraction form
    108,913.50/175,461.75 = 175,461.75/x
  3. Step 3: Cross multiply
    108,913.50x = 175,461.75 × 175,461.75
  4. Step 4: Simplify right side
    108,913.50x = 30,786,825,713.06
  5. Step 5: Solve for x
    x = 30,786,825,713.06/108,913.50
  6. Step 6: Final answer
    x = 282,672.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.