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Finding the Third Proportional to 42,720 and 98,900

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Solution

The third proportional to 42,720 and 98,900 is: 228,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,720 : 98,900 = 98,900 : x
  2. Step 2: Convert to fraction form
    42,720/98,900 = 98,900/x
  3. Step 3: Cross multiply
    42,720x = 98,900 × 98,900
  4. Step 4: Simplify right side
    42,720x = 9,781,210,000
  5. Step 5: Solve for x
    x = 9,781,210,000/42,720
  6. Step 6: Final answer
    x = 228,960.91

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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.