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Finding the Third Proportional to 50,762.25 and 74,412

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Solution

The third proportional to 50,762.25 and 74,412 is: 109,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,762.25 : 74,412 = 74,412 : x
  2. Step 2: Convert to fraction form
    50,762.25/74,412 = 74,412/x
  3. Step 3: Cross multiply
    50,762.25x = 74,412 × 74,412
  4. Step 4: Simplify right side
    50,762.25x = 5,537,145,744
  5. Step 5: Solve for x
    x = 5,537,145,744/50,762.25
  6. Step 6: Final answer
    x = 109,079.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.