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Finding the Third Proportional to 74,932.50 and 161,860.13

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Solution

The third proportional to 74,932.50 and 161,860.13 is: 349,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,932.50 : 161,860.13 = 161,860.13 : x
  2. Step 2: Convert to fraction form
    74,932.50/161,860.13 = 161,860.13/x
  3. Step 3: Cross multiply
    74,932.50x = 161,860.13 × 161,860.13
  4. Step 4: Simplify right side
    74,932.50x = 26,198,700,065.02
  5. Step 5: Solve for x
    x = 26,198,700,065.02/74,932.50
  6. Step 6: Final answer
    x = 349,630.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.