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Finding the Third Proportional to 61,838 and 87,357

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Solution

The third proportional to 61,838 and 87,357 is: 123,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,838 : 87,357 = 87,357 : x
  2. Step 2: Convert to fraction form
    61,838/87,357 = 87,357/x
  3. Step 3: Cross multiply
    61,838x = 87,357 × 87,357
  4. Step 4: Simplify right side
    61,838x = 7,631,245,449
  5. Step 5: Solve for x
    x = 7,631,245,449/61,838
  6. Step 6: Final answer
    x = 123,407.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.