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Finding the Third Proportional to 35,260 and 74,156

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Solution

The third proportional to 35,260 and 74,156 is: 155,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,260 : 74,156 = 74,156 : x
  2. Step 2: Convert to fraction form
    35,260/74,156 = 74,156/x
  3. Step 3: Cross multiply
    35,260x = 74,156 × 74,156
  4. Step 4: Simplify right side
    35,260x = 5,499,112,336
  5. Step 5: Solve for x
    x = 5,499,112,336/35,260
  6. Step 6: Final answer
    x = 155,958.94

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.