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Finding the Third Proportional to 119,905.13 and 175,969.69

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Solution

The third proportional to 119,905.13 and 175,969.69 is: 258,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,905.13 : 175,969.69 = 175,969.69 : x
  2. Step 2: Convert to fraction form
    119,905.13/175,969.69 = 175,969.69/x
  3. Step 3: Cross multiply
    119,905.13x = 175,969.69 × 175,969.69
  4. Step 4: Simplify right side
    119,905.13x = 30,965,330,918.85
  5. Step 5: Solve for x
    x = 30,965,330,918.85/119,905.13
  6. Step 6: Final answer
    x = 258,248.60

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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.