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Finding the Third Proportional to 73,315.76 and 110,306.81

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Solution

The third proportional to 73,315.76 and 110,306.81 is: 165,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,315.76 : 110,306.81 = 110,306.81 : x
  2. Step 2: Convert to fraction form
    73,315.76/110,306.81 = 110,306.81/x
  3. Step 3: Cross multiply
    73,315.76x = 110,306.81 × 110,306.81
  4. Step 4: Simplify right side
    73,315.76x = 12,167,592,883.91
  5. Step 5: Solve for x
    x = 12,167,592,883.91/73,315.76
  6. Step 6: Final answer
    x = 165,961.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.