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Finding the Third Proportional to 81,807.47 and 111,947.06

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Solution

The third proportional to 81,807.47 and 111,947.06 is: 153,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,807.47 : 111,947.06 = 111,947.06 : x
  2. Step 2: Convert to fraction form
    81,807.47/111,947.06 = 111,947.06/x
  3. Step 3: Cross multiply
    81,807.47x = 111,947.06 × 111,947.06
  4. Step 4: Simplify right side
    81,807.47x = 12,532,144,802.38
  5. Step 5: Solve for x
    x = 12,532,144,802.38/81,807.47
  6. Step 6: Final answer
    x = 153,190.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.