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Finding the Third Proportional to 65,494 and 141,348

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Solution

The third proportional to 65,494 and 141,348 is: 305,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,494 : 141,348 = 141,348 : x
  2. Step 2: Convert to fraction form
    65,494/141,348 = 141,348/x
  3. Step 3: Cross multiply
    65,494x = 141,348 × 141,348
  4. Step 4: Simplify right side
    65,494x = 19,979,257,104
  5. Step 5: Solve for x
    x = 19,979,257,104/65,494
  6. Step 6: Final answer
    x = 305,054.77

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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.