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Finding the Third Proportional to 67,717.90 and 105,000.05

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Solution

The third proportional to 67,717.90 and 105,000.05 is: 162,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,717.90 : 105,000.05 = 105,000.05 : x
  2. Step 2: Convert to fraction form
    67,717.90/105,000.05 = 105,000.05/x
  3. Step 3: Cross multiply
    67,717.90x = 105,000.05 × 105,000.05
  4. Step 4: Simplify right side
    67,717.90x = 11,025,009,843.75
  5. Step 5: Solve for x
    x = 11,025,009,843.75/67,717.90
  6. Step 6: Final answer
    x = 162,807.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.