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Finding the Third Proportional to 61,971.75 and 127,210.50

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Solution

The third proportional to 61,971.75 and 127,210.50 is: 261,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,971.75 : 127,210.50 = 127,210.50 : x
  2. Step 2: Convert to fraction form
    61,971.75/127,210.50 = 127,210.50/x
  3. Step 3: Cross multiply
    61,971.75x = 127,210.50 × 127,210.50
  4. Step 4: Simplify right side
    61,971.75x = 16,182,511,310.25
  5. Step 5: Solve for x
    x = 16,182,511,310.25/61,971.75
  6. Step 6: Final answer
    x = 261,127.23

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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.