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Finding the Third Proportional to 46,057.50 and 71,119.50

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Solution

The third proportional to 46,057.50 and 71,119.50 is: 109,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,057.50 : 71,119.50 = 71,119.50 : x
  2. Step 2: Convert to fraction form
    46,057.50/71,119.50 = 71,119.50/x
  3. Step 3: Cross multiply
    46,057.50x = 71,119.50 × 71,119.50
  4. Step 4: Simplify right side
    46,057.50x = 5,057,983,280.25
  5. Step 5: Solve for x
    x = 5,057,983,280.25/46,057.50
  6. Step 6: Final answer
    x = 109,818.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.