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Finding the Third Proportional to 66,177 and 99,868.50

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Solution

The third proportional to 66,177 and 99,868.50 is: 150,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,177 : 99,868.50 = 99,868.50 : x
  2. Step 2: Convert to fraction form
    66,177/99,868.50 = 99,868.50/x
  3. Step 3: Cross multiply
    66,177x = 99,868.50 × 99,868.50
  4. Step 4: Simplify right side
    66,177x = 9,973,717,292.25
  5. Step 5: Solve for x
    x = 9,973,717,292.25/66,177
  6. Step 6: Final answer
    x = 150,712.74

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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.