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Finding the Third Proportional to 110,854.50 and 172,000.50

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Solution

The third proportional to 110,854.50 and 172,000.50 is: 266,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,854.50 : 172,000.50 = 172,000.50 : x
  2. Step 2: Convert to fraction form
    110,854.50/172,000.50 = 172,000.50/x
  3. Step 3: Cross multiply
    110,854.50x = 172,000.50 × 172,000.50
  4. Step 4: Simplify right side
    110,854.50x = 29,584,172,000.25
  5. Step 5: Solve for x
    x = 29,584,172,000.25/110,854.50
  6. Step 6: Final answer
    x = 266,873.89

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