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Finding the Third Proportional to 61,786 and 134,902

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Solution

The third proportional to 61,786 and 134,902 is: 294,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,786 : 134,902 = 134,902 : x
  2. Step 2: Convert to fraction form
    61,786/134,902 = 134,902/x
  3. Step 3: Cross multiply
    61,786x = 134,902 × 134,902
  4. Step 4: Simplify right side
    61,786x = 18,198,549,604
  5. Step 5: Solve for x
    x = 18,198,549,604/61,786
  6. Step 6: Final answer
    x = 294,541.64

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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.