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Finding the Third Proportional to 35,314 and 74,261

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Solution

The third proportional to 35,314 and 74,261 is: 156,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,314 : 74,261 = 74,261 : x
  2. Step 2: Convert to fraction form
    35,314/74,261 = 74,261/x
  3. Step 3: Cross multiply
    35,314x = 74,261 × 74,261
  4. Step 4: Simplify right side
    35,314x = 5,514,696,121
  5. Step 5: Solve for x
    x = 5,514,696,121/35,314
  6. Step 6: Final answer
    x = 156,161.75

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Why These Related Problems?

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