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Finding the Third Proportional to 52,370 and 74,042

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Solution

The third proportional to 52,370 and 74,042 is: 104,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,370 : 74,042 = 74,042 : x
  2. Step 2: Convert to fraction form
    52,370/74,042 = 74,042/x
  3. Step 3: Cross multiply
    52,370x = 74,042 × 74,042
  4. Step 4: Simplify right side
    52,370x = 5,482,217,764
  5. Step 5: Solve for x
    x = 5,482,217,764/52,370
  6. Step 6: Final answer
    x = 104,682.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.