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Finding the Third Proportional to 61,398 and 134,496

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Solution

The third proportional to 61,398 and 134,496 is: 294,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,398 : 134,496 = 134,496 : x
  2. Step 2: Convert to fraction form
    61,398/134,496 = 134,496/x
  3. Step 3: Cross multiply
    61,398x = 134,496 × 134,496
  4. Step 4: Simplify right side
    61,398x = 18,089,174,016
  5. Step 5: Solve for x
    x = 18,089,174,016/61,398
  6. Step 6: Final answer
    x = 294,621.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.