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Finding the Third Proportional to 126,810 and 299,891.50

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Solution

The third proportional to 126,810 and 299,891.50 is: 709,209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,810 : 299,891.50 = 299,891.50 : x
  2. Step 2: Convert to fraction form
    126,810/299,891.50 = 299,891.50/x
  3. Step 3: Cross multiply
    126,810x = 299,891.50 × 299,891.50
  4. Step 4: Simplify right side
    126,810x = 89,934,911,772.25
  5. Step 5: Solve for x
    x = 89,934,911,772.25/126,810
  6. Step 6: Final answer
    x = 709,209.93

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.