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Finding the Third Proportional to 113,947.88 and 249,765.75

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Solution

The third proportional to 113,947.88 and 249,765.75 is: 547,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,947.88 : 249,765.75 = 249,765.75 : x
  2. Step 2: Convert to fraction form
    113,947.88/249,765.75 = 249,765.75/x
  3. Step 3: Cross multiply
    113,947.88x = 249,765.75 × 249,765.75
  4. Step 4: Simplify right side
    113,947.88x = 62,382,929,873.06
  5. Step 5: Solve for x
    x = 62,382,929,873.06/113,947.88
  6. Step 6: Final answer
    x = 547,469.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.