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Finding the Third Proportional to 52,360.50 and 74,814

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Solution

The third proportional to 52,360.50 and 74,814 is: 106,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,360.50 : 74,814 = 74,814 : x
  2. Step 2: Convert to fraction form
    52,360.50/74,814 = 74,814/x
  3. Step 3: Cross multiply
    52,360.50x = 74,814 × 74,814
  4. Step 4: Simplify right side
    52,360.50x = 5,597,134,596
  5. Step 5: Solve for x
    x = 5,597,134,596/52,360.50
  6. Step 6: Final answer
    x = 106,896.13

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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.