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Finding the Third Proportional to 61,855 and 137,875

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Solution

The third proportional to 61,855 and 137,875 is: 307,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,855 : 137,875 = 137,875 : x
  2. Step 2: Convert to fraction form
    61,855/137,875 = 137,875/x
  3. Step 3: Cross multiply
    61,855x = 137,875 × 137,875
  4. Step 4: Simplify right side
    61,855x = 19,009,515,625
  5. Step 5: Solve for x
    x = 19,009,515,625/61,855
  6. Step 6: Final answer
    x = 307,323.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.