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Finding the Third Proportional to 112,773.50 and 243,175.50

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Solution

The third proportional to 112,773.50 and 243,175.50 is: 524,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,773.50 : 243,175.50 = 243,175.50 : x
  2. Step 2: Convert to fraction form
    112,773.50/243,175.50 = 243,175.50/x
  3. Step 3: Cross multiply
    112,773.50x = 243,175.50 × 243,175.50
  4. Step 4: Simplify right side
    112,773.50x = 59,134,323,800.25
  5. Step 5: Solve for x
    x = 59,134,323,800.25/112,773.50
  6. Step 6: Final answer
    x = 524,363.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.