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Finding the Third Proportional to 80,477.50 and 127,404

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Solution

The third proportional to 80,477.50 and 127,404 is: 201,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,477.50 : 127,404 = 127,404 : x
  2. Step 2: Convert to fraction form
    80,477.50/127,404 = 127,404/x
  3. Step 3: Cross multiply
    80,477.50x = 127,404 × 127,404
  4. Step 4: Simplify right side
    80,477.50x = 16,231,779,216
  5. Step 5: Solve for x
    x = 16,231,779,216/80,477.50
  6. Step 6: Final answer
    x = 201,693.38

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.