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Finding the Third Proportional to 108,259.50 and 170,063.75

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Solution

The third proportional to 108,259.50 and 170,063.75 is: 267,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,259.50 : 170,063.75 = 170,063.75 : x
  2. Step 2: Convert to fraction form
    108,259.50/170,063.75 = 170,063.75/x
  3. Step 3: Cross multiply
    108,259.50x = 170,063.75 × 170,063.75
  4. Step 4: Simplify right side
    108,259.50x = 28,921,679,064.06
  5. Step 5: Solve for x
    x = 28,921,679,064.06/108,259.50
  6. Step 6: Final answer
    x = 267,151.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.