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Finding the Third Proportional to 52,782 and 74,097

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Solution

The third proportional to 52,782 and 74,097 is: 104,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,782 : 74,097 = 74,097 : x
  2. Step 2: Convert to fraction form
    52,782/74,097 = 74,097/x
  3. Step 3: Cross multiply
    52,782x = 74,097 × 74,097
  4. Step 4: Simplify right side
    52,782x = 5,490,365,409
  5. Step 5: Solve for x
    x = 5,490,365,409/52,782
  6. Step 6: Final answer
    x = 104,019.65

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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.