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Finding the Third Proportional to 66,960 and 114,048

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Solution

The third proportional to 66,960 and 114,048 is: 194,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,960 : 114,048 = 114,048 : x
  2. Step 2: Convert to fraction form
    66,960/114,048 = 114,048/x
  3. Step 3: Cross multiply
    66,960x = 114,048 × 114,048
  4. Step 4: Simplify right side
    66,960x = 13,006,946,304
  5. Step 5: Solve for x
    x = 13,006,946,304/66,960
  6. Step 6: Final answer
    x = 194,249.50

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.