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Finding the Third Proportional to 66,294.56 and 100,404.84

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Solution

The third proportional to 66,294.56 and 100,404.84 is: 152,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,294.56 : 100,404.84 = 100,404.84 : x
  2. Step 2: Convert to fraction form
    66,294.56/100,404.84 = 100,404.84/x
  3. Step 3: Cross multiply
    66,294.56x = 100,404.84 × 100,404.84
  4. Step 4: Simplify right side
    66,294.56x = 10,081,132,648.46
  5. Step 5: Solve for x
    x = 10,081,132,648.46/66,294.56
  6. Step 6: Final answer
    x = 152,065.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.