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Finding the Third Proportional to 69,095.53 and 127,811.36

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Solution

The third proportional to 69,095.53 and 127,811.36 is: 236,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,095.53 : 127,811.36 = 127,811.36 : x
  2. Step 2: Convert to fraction form
    69,095.53/127,811.36 = 127,811.36/x
  3. Step 3: Cross multiply
    69,095.53x = 127,811.36 × 127,811.36
  4. Step 4: Simplify right side
    69,095.53x = 16,335,742,586.76
  5. Step 5: Solve for x
    x = 16,335,742,586.76/69,095.53
  6. Step 6: Final answer
    x = 236,422.56

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.