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Finding the Third Proportional to 66,083.06 and 99,144.84

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Solution

The third proportional to 66,083.06 and 99,144.84 is: 148,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,083.06 : 99,144.84 = 99,144.84 : x
  2. Step 2: Convert to fraction form
    66,083.06/99,144.84 = 99,144.84/x
  3. Step 3: Cross multiply
    66,083.06x = 99,144.84 × 99,144.84
  4. Step 4: Simplify right side
    66,083.06x = 9,829,700,042.21
  5. Step 5: Solve for x
    x = 9,829,700,042.21/66,083.06
  6. Step 6: Final answer
    x = 148,747.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.