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Finding the Third Proportional to 52,995 and 74,274

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Solution

The third proportional to 52,995 and 74,274 is: 104,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,995 : 74,274 = 74,274 : x
  2. Step 2: Convert to fraction form
    52,995/74,274 = 74,274/x
  3. Step 3: Cross multiply
    52,995x = 74,274 × 74,274
  4. Step 4: Simplify right side
    52,995x = 5,516,627,076
  5. Step 5: Solve for x
    x = 5,516,627,076/52,995
  6. Step 6: Final answer
    x = 104,097.12

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