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Finding the Third Proportional to 106,720 and 247,068

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Solution

The third proportional to 106,720 and 247,068 is: 571,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,720 : 247,068 = 247,068 : x
  2. Step 2: Convert to fraction form
    106,720/247,068 = 247,068/x
  3. Step 3: Cross multiply
    106,720x = 247,068 × 247,068
  4. Step 4: Simplify right side
    106,720x = 61,042,596,624
  5. Step 5: Solve for x
    x = 61,042,596,624/106,720
  6. Step 6: Final answer
    x = 571,988.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.