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Finding the Third Proportional to 113,896.75 and 249,245.25

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Solution

The third proportional to 113,896.75 and 249,245.25 is: 545,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,896.75 : 249,245.25 = 249,245.25 : x
  2. Step 2: Convert to fraction form
    113,896.75/249,245.25 = 249,245.25/x
  3. Step 3: Cross multiply
    113,896.75x = 249,245.25 × 249,245.25
  4. Step 4: Simplify right side
    113,896.75x = 62,123,194,647.56
  5. Step 5: Solve for x
    x = 62,123,194,647.56/113,896.75
  6. Step 6: Final answer
    x = 545,434.30

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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.