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Finding the Third Proportional to 119,211 and 180,031.50

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Solution

The third proportional to 119,211 and 180,031.50 is: 271,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,211 : 180,031.50 = 180,031.50 : x
  2. Step 2: Convert to fraction form
    119,211/180,031.50 = 180,031.50/x
  3. Step 3: Cross multiply
    119,211x = 180,031.50 × 180,031.50
  4. Step 4: Simplify right side
    119,211x = 32,411,340,992.25
  5. Step 5: Solve for x
    x = 32,411,340,992.25/119,211
  6. Step 6: Final answer
    x = 271,882.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.