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Finding the Third Proportional to 107,756 and 170,541

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Solution

The third proportional to 107,756 and 170,541 is: 269,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,756 : 170,541 = 170,541 : x
  2. Step 2: Convert to fraction form
    107,756/170,541 = 170,541/x
  3. Step 3: Cross multiply
    107,756x = 170,541 × 170,541
  4. Step 4: Simplify right side
    107,756x = 29,084,232,681
  5. Step 5: Solve for x
    x = 29,084,232,681/107,756
  6. Step 6: Final answer
    x = 269,908.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.