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Finding the Third Proportional to 66,348 and 138,842

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Solution

The third proportional to 66,348 and 138,842 is: 290,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,348 : 138,842 = 138,842 : x
  2. Step 2: Convert to fraction form
    66,348/138,842 = 138,842/x
  3. Step 3: Cross multiply
    66,348x = 138,842 × 138,842
  4. Step 4: Simplify right side
    66,348x = 19,277,100,964
  5. Step 5: Solve for x
    x = 19,277,100,964/66,348
  6. Step 6: Final answer
    x = 290,545.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.