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Finding the Third Proportional to 114,242 and 170,691

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Solution

The third proportional to 114,242 and 170,691 is: 255,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,242 : 170,691 = 170,691 : x
  2. Step 2: Convert to fraction form
    114,242/170,691 = 170,691/x
  3. Step 3: Cross multiply
    114,242x = 170,691 × 170,691
  4. Step 4: Simplify right side
    114,242x = 29,135,417,481
  5. Step 5: Solve for x
    x = 29,135,417,481/114,242
  6. Step 6: Final answer
    x = 255,032.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.