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Finding the Third Proportional to 52,985 and 74,269

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Solution

The third proportional to 52,985 and 74,269 is: 104,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,985 : 74,269 = 74,269 : x
  2. Step 2: Convert to fraction form
    52,985/74,269 = 74,269/x
  3. Step 3: Cross multiply
    52,985x = 74,269 × 74,269
  4. Step 4: Simplify right side
    52,985x = 5,515,884,361
  5. Step 5: Solve for x
    x = 5,515,884,361/52,985
  6. Step 6: Final answer
    x = 104,102.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.