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Finding the Third Proportional to 61,887 and 127,053

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Solution

The third proportional to 61,887 and 127,053 is: 260,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,887 : 127,053 = 127,053 : x
  2. Step 2: Convert to fraction form
    61,887/127,053 = 127,053/x
  3. Step 3: Cross multiply
    61,887x = 127,053 × 127,053
  4. Step 4: Simplify right side
    61,887x = 16,142,464,809
  5. Step 5: Solve for x
    x = 16,142,464,809/61,887
  6. Step 6: Final answer
    x = 260,837.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.