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Finding the Third Proportional to 52,003 and 74,312

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Solution

The third proportional to 52,003 and 74,312 is: 106,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,003 : 74,312 = 74,312 : x
  2. Step 2: Convert to fraction form
    52,003/74,312 = 74,312/x
  3. Step 3: Cross multiply
    52,003x = 74,312 × 74,312
  4. Step 4: Simplify right side
    52,003x = 5,522,273,344
  5. Step 5: Solve for x
    x = 5,522,273,344/52,003
  6. Step 6: Final answer
    x = 106,191.44

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Why These Related Problems?

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