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Finding the Third Proportional to 66,960 and 101,124

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Solution

The third proportional to 66,960 and 101,124 is: 152,718.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,960 : 101,124 = 101,124 : x
  2. Step 2: Convert to fraction form
    66,960/101,124 = 101,124/x
  3. Step 3: Cross multiply
    66,960x = 101,124 × 101,124
  4. Step 4: Simplify right side
    66,960x = 10,226,063,376
  5. Step 5: Solve for x
    x = 10,226,063,376/66,960
  6. Step 6: Final answer
    x = 152,718.99

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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.