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Finding the Third Proportional to 104,530.50 and 140,454

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Solution

The third proportional to 104,530.50 and 140,454 is: 188,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,530.50 : 140,454 = 140,454 : x
  2. Step 2: Convert to fraction form
    104,530.50/140,454 = 140,454/x
  3. Step 3: Cross multiply
    104,530.50x = 140,454 × 140,454
  4. Step 4: Simplify right side
    104,530.50x = 19,727,326,116
  5. Step 5: Solve for x
    x = 19,727,326,116/104,530.50
  6. Step 6: Final answer
    x = 188,723.16

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.