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Finding the Third Proportional to 68,077.13 and 141,010.88

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Solution

The third proportional to 68,077.13 and 141,010.88 is: 292,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,077.13 : 141,010.88 = 141,010.88 : x
  2. Step 2: Convert to fraction form
    68,077.13/141,010.88 = 141,010.88/x
  3. Step 3: Cross multiply
    68,077.13x = 141,010.88 × 141,010.88
  4. Step 4: Simplify right side
    68,077.13x = 19,884,066,868.27
  5. Step 5: Solve for x
    x = 19,884,066,868.27/68,077.13
  6. Step 6: Final answer
    x = 292,081.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.