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Finding the Third Proportional to 50,332 and 74,022

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Solution

The third proportional to 50,332 and 74,022 is: 108,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,332 : 74,022 = 74,022 : x
  2. Step 2: Convert to fraction form
    50,332/74,022 = 74,022/x
  3. Step 3: Cross multiply
    50,332x = 74,022 × 74,022
  4. Step 4: Simplify right side
    50,332x = 5,479,256,484
  5. Step 5: Solve for x
    x = 5,479,256,484/50,332
  6. Step 6: Final answer
    x = 108,862.28

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Why These Related Problems?

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