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Finding the Third Proportional to 113,952 and 249,936

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Solution

The third proportional to 113,952 and 249,936 is: 548,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,952 : 249,936 = 249,936 : x
  2. Step 2: Convert to fraction form
    113,952/249,936 = 249,936/x
  3. Step 3: Cross multiply
    113,952x = 249,936 × 249,936
  4. Step 4: Simplify right side
    113,952x = 62,468,004,096
  5. Step 5: Solve for x
    x = 62,468,004,096/113,952
  6. Step 6: Final answer
    x = 548,195.77

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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.