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Finding the Third Proportional to 119,632 and 185,102

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Solution

The third proportional to 119,632 and 185,102 is: 286,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,632 : 185,102 = 185,102 : x
  2. Step 2: Convert to fraction form
    119,632/185,102 = 185,102/x
  3. Step 3: Cross multiply
    119,632x = 185,102 × 185,102
  4. Step 4: Simplify right side
    119,632x = 34,262,750,404
  5. Step 5: Solve for x
    x = 34,262,750,404/119,632
  6. Step 6: Final answer
    x = 286,401.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.