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Finding the Third Proportional to 119,946 and 176,031

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Solution

The third proportional to 119,946 and 176,031 is: 258,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,946 : 176,031 = 176,031 : x
  2. Step 2: Convert to fraction form
    119,946/176,031 = 176,031/x
  3. Step 3: Cross multiply
    119,946x = 176,031 × 176,031
  4. Step 4: Simplify right side
    119,946x = 30,986,912,961
  5. Step 5: Solve for x
    x = 30,986,912,961/119,946
  6. Step 6: Final answer
    x = 258,340.53

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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.