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Finding the Third Proportional to 61,860 and 137,886

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Solution

The third proportional to 61,860 and 137,886 is: 307,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,860 : 137,886 = 137,886 : x
  2. Step 2: Convert to fraction form
    61,860/137,886 = 137,886/x
  3. Step 3: Cross multiply
    61,860x = 137,886 × 137,886
  4. Step 4: Simplify right side
    61,860x = 19,012,548,996
  5. Step 5: Solve for x
    x = 19,012,548,996/61,860
  6. Step 6: Final answer
    x = 307,348.03

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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.