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Finding the Third Proportional to 52,806 and 114,720

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Solution

The third proportional to 52,806 and 114,720 is: 249,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,806 : 114,720 = 114,720 : x
  2. Step 2: Convert to fraction form
    52,806/114,720 = 114,720/x
  3. Step 3: Cross multiply
    52,806x = 114,720 × 114,720
  4. Step 4: Simplify right side
    52,806x = 13,160,678,400
  5. Step 5: Solve for x
    x = 13,160,678,400/52,806
  6. Step 6: Final answer
    x = 249,226.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.