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Finding the Third Proportional to 108,571.50 and 170,541

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Solution

The third proportional to 108,571.50 and 170,541 is: 267,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,571.50 : 170,541 = 170,541 : x
  2. Step 2: Convert to fraction form
    108,571.50/170,541 = 170,541/x
  3. Step 3: Cross multiply
    108,571.50x = 170,541 × 170,541
  4. Step 4: Simplify right side
    108,571.50x = 29,084,232,681
  5. Step 5: Solve for x
    x = 29,084,232,681/108,571.50
  6. Step 6: Final answer
    x = 267,880.91

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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.