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Finding the Third Proportional to 120,102.75 and 176,698.13

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Solution

The third proportional to 120,102.75 and 176,698.13 is: 259,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102.75 : 176,698.13 = 176,698.13 : x
  2. Step 2: Convert to fraction form
    120,102.75/176,698.13 = 176,698.13/x
  3. Step 3: Cross multiply
    120,102.75x = 176,698.13 × 176,698.13
  4. Step 4: Simplify right side
    120,102.75x = 31,222,227,378.52
  5. Step 5: Solve for x
    x = 31,222,227,378.52/120,102.75
  6. Step 6: Final answer
    x = 259,962.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.