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Finding the Third Proportional to 61,855 and 134,942

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Solution

The third proportional to 61,855 and 134,942 is: 294,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,855 : 134,942 = 134,942 : x
  2. Step 2: Convert to fraction form
    61,855/134,942 = 134,942/x
  3. Step 3: Cross multiply
    61,855x = 134,942 × 134,942
  4. Step 4: Simplify right side
    61,855x = 18,209,343,364
  5. Step 5: Solve for x
    x = 18,209,343,364/61,855
  6. Step 6: Final answer
    x = 294,387.57

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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.