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Finding the Third Proportional to 66,469 and 101,216

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Solution

The third proportional to 66,469 and 101,216 is: 154,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,469 : 101,216 = 101,216 : x
  2. Step 2: Convert to fraction form
    66,469/101,216 = 101,216/x
  3. Step 3: Cross multiply
    66,469x = 101,216 × 101,216
  4. Step 4: Simplify right side
    66,469x = 10,244,678,656
  5. Step 5: Solve for x
    x = 10,244,678,656/66,469
  6. Step 6: Final answer
    x = 154,127.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.