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Finding the Third Proportional to 74,773.13 and 100,738.69

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Solution

The third proportional to 74,773.13 and 100,738.69 is: 135,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,773.13 : 100,738.69 = 100,738.69 : x
  2. Step 2: Convert to fraction form
    74,773.13/100,738.69 = 100,738.69/x
  3. Step 3: Cross multiply
    74,773.13x = 100,738.69 × 100,738.69
  4. Step 4: Simplify right side
    74,773.13x = 10,148,283,159.22
  5. Step 5: Solve for x
    x = 10,148,283,159.22/74,773.13
  6. Step 6: Final answer
    x = 135,721.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.