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Finding the Third Proportional to 66,960 and 98,253

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Solution

The third proportional to 66,960 and 98,253 is: 144,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,960 : 98,253 = 98,253 : x
  2. Step 2: Convert to fraction form
    66,960/98,253 = 98,253/x
  3. Step 3: Cross multiply
    66,960x = 98,253 × 98,253
  4. Step 4: Simplify right side
    66,960x = 9,653,652,009
  5. Step 5: Solve for x
    x = 9,653,652,009/66,960
  6. Step 6: Final answer
    x = 144,170.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.