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Finding the Third Proportional to 127,424.81 and 202,436.72

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Solution

The third proportional to 127,424.81 and 202,436.72 is: 321,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,424.81 : 202,436.72 = 202,436.72 : x
  2. Step 2: Convert to fraction form
    127,424.81/202,436.72 = 202,436.72/x
  3. Step 3: Cross multiply
    127,424.81x = 202,436.72 × 202,436.72
  4. Step 4: Simplify right side
    127,424.81x = 40,980,625,098.27
  5. Step 5: Solve for x
    x = 40,980,625,098.27/127,424.81
  6. Step 6: Final answer
    x = 321,606.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.