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Finding the Third Proportional to 42,077.81 and 90,842.91

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Solution

The third proportional to 42,077.81 and 90,842.91 is: 196,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,077.81 : 90,842.91 = 90,842.91 : x
  2. Step 2: Convert to fraction form
    42,077.81/90,842.91 = 90,842.91/x
  3. Step 3: Cross multiply
    42,077.81x = 90,842.91 × 90,842.91
  4. Step 4: Simplify right side
    42,077.81x = 8,252,433,615.95
  5. Step 5: Solve for x
    x = 8,252,433,615.95/42,077.81
  6. Step 6: Final answer
    x = 196,123.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.