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Finding the Third Proportional to 69,358 and 149,642

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Solution

The third proportional to 69,358 and 149,642 is: 322,857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,358 : 149,642 = 149,642 : x
  2. Step 2: Convert to fraction form
    69,358/149,642 = 149,642/x
  3. Step 3: Cross multiply
    69,358x = 149,642 × 149,642
  4. Step 4: Simplify right side
    69,358x = 22,392,728,164
  5. Step 5: Solve for x
    x = 22,392,728,164/69,358
  6. Step 6: Final answer
    x = 322,857.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.