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Finding the Third Proportional to 59,887.50 and 127,077

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Solution

The third proportional to 59,887.50 and 127,077 is: 269,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,887.50 : 127,077 = 127,077 : x
  2. Step 2: Convert to fraction form
    59,887.50/127,077 = 127,077/x
  3. Step 3: Cross multiply
    59,887.50x = 127,077 × 127,077
  4. Step 4: Simplify right side
    59,887.50x = 16,148,563,929
  5. Step 5: Solve for x
    x = 16,148,563,929/59,887.50
  6. Step 6: Final answer
    x = 269,648.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.