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Finding the Third Proportional to 48,064.50 and 75,395.25

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Solution

The third proportional to 48,064.50 and 75,395.25 is: 118,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,064.50 : 75,395.25 = 75,395.25 : x
  2. Step 2: Convert to fraction form
    48,064.50/75,395.25 = 75,395.25/x
  3. Step 3: Cross multiply
    48,064.50x = 75,395.25 × 75,395.25
  4. Step 4: Simplify right side
    48,064.50x = 5,684,443,722.56
  5. Step 5: Solve for x
    x = 5,684,443,722.56/48,064.50
  6. Step 6: Final answer
    x = 118,266.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.