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Finding the Third Proportional to 61,822 and 134,660

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Solution

The third proportional to 61,822 and 134,660 is: 293,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,822 : 134,660 = 134,660 : x
  2. Step 2: Convert to fraction form
    61,822/134,660 = 134,660/x
  3. Step 3: Cross multiply
    61,822x = 134,660 × 134,660
  4. Step 4: Simplify right side
    61,822x = 18,133,315,600
  5. Step 5: Solve for x
    x = 18,133,315,600/61,822
  6. Step 6: Final answer
    x = 293,314.93

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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.