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Finding the Third Proportional to 110,481 and 172,827.50

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Solution

The third proportional to 110,481 and 172,827.50 is: 270,357.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,481 : 172,827.50 = 172,827.50 : x
  2. Step 2: Convert to fraction form
    110,481/172,827.50 = 172,827.50/x
  3. Step 3: Cross multiply
    110,481x = 172,827.50 × 172,827.50
  4. Step 4: Simplify right side
    110,481x = 29,869,344,756.25
  5. Step 5: Solve for x
    x = 29,869,344,756.25/110,481
  6. Step 6: Final answer
    x = 270,357.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.