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Finding the Third Proportional to 52,769 and 74,312

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Solution

The third proportional to 52,769 and 74,312 is: 104,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,769 : 74,312 = 74,312 : x
  2. Step 2: Convert to fraction form
    52,769/74,312 = 74,312/x
  3. Step 3: Cross multiply
    52,769x = 74,312 × 74,312
  4. Step 4: Simplify right side
    52,769x = 5,522,273,344
  5. Step 5: Solve for x
    x = 5,522,273,344/52,769
  6. Step 6: Final answer
    x = 104,649.95

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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.