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Finding the Third Proportional to 42,720 and 94,764

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Solution

The third proportional to 42,720 and 94,764 is: 210,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,720 : 94,764 = 94,764 : x
  2. Step 2: Convert to fraction form
    42,720/94,764 = 94,764/x
  3. Step 3: Cross multiply
    42,720x = 94,764 × 94,764
  4. Step 4: Simplify right side
    42,720x = 8,980,215,696
  5. Step 5: Solve for x
    x = 8,980,215,696/42,720
  6. Step 6: Final answer
    x = 210,211.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.