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Finding the Third Proportional to 61,987.50 and 127,240.50

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Solution

The third proportional to 61,987.50 and 127,240.50 is: 261,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,987.50 : 127,240.50 = 127,240.50 : x
  2. Step 2: Convert to fraction form
    61,987.50/127,240.50 = 127,240.50/x
  3. Step 3: Cross multiply
    61,987.50x = 127,240.50 × 127,240.50
  4. Step 4: Simplify right side
    61,987.50x = 16,190,144,840.25
  5. Step 5: Solve for x
    x = 16,190,144,840.25/61,987.50
  6. Step 6: Final answer
    x = 261,184.03

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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.