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Finding the Third Proportional to 161,056.13 and 212,950.69

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Solution

The third proportional to 161,056.13 and 212,950.69 is: 281,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,056.13 : 212,950.69 = 212,950.69 : x
  2. Step 2: Convert to fraction form
    161,056.13/212,950.69 = 212,950.69/x
  3. Step 3: Cross multiply
    161,056.13x = 212,950.69 × 212,950.69
  4. Step 4: Simplify right side
    161,056.13x = 45,347,995,306.72
  5. Step 5: Solve for x
    x = 45,347,995,306.72/161,056.13
  6. Step 6: Final answer
    x = 281,566.41

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.