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Finding the Third Proportional to 66,561 and 144,785

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Solution

The third proportional to 66,561 and 144,785 is: 314,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,561 : 144,785 = 144,785 : x
  2. Step 2: Convert to fraction form
    66,561/144,785 = 144,785/x
  3. Step 3: Cross multiply
    66,561x = 144,785 × 144,785
  4. Step 4: Simplify right side
    66,561x = 20,962,696,225
  5. Step 5: Solve for x
    x = 20,962,696,225/66,561
  6. Step 6: Final answer
    x = 314,939.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.