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Finding the Third Proportional to 36,180 and 75,130.50

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Solution

The third proportional to 36,180 and 75,130.50 is: 156,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,180 : 75,130.50 = 75,130.50 : x
  2. Step 2: Convert to fraction form
    36,180/75,130.50 = 75,130.50/x
  3. Step 3: Cross multiply
    36,180x = 75,130.50 × 75,130.50
  4. Step 4: Simplify right side
    36,180x = 5,644,592,030.25
  5. Step 5: Solve for x
    x = 5,644,592,030.25/36,180
  6. Step 6: Final answer
    x = 156,014.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.