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Finding the Third Proportional to 52,000.31 and 74,309.06

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Solution

The third proportional to 52,000.31 and 74,309.06 is: 106,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,000.31 : 74,309.06 = 74,309.06 : x
  2. Step 2: Convert to fraction form
    52,000.31/74,309.06 = 74,309.06/x
  3. Step 3: Cross multiply
    52,000.31x = 74,309.06 × 74,309.06
  4. Step 4: Simplify right side
    52,000.31x = 5,521,836,769.63
  5. Step 5: Solve for x
    x = 5,521,836,769.63/52,000.31
  6. Step 6: Final answer
    x = 106,188.53

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.