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Finding the Third Proportional to 35,363 and 76,261

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Solution

The third proportional to 35,363 and 76,261 is: 164,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,363 : 76,261 = 76,261 : x
  2. Step 2: Convert to fraction form
    35,363/76,261 = 76,261/x
  3. Step 3: Cross multiply
    35,363x = 76,261 × 76,261
  4. Step 4: Simplify right side
    35,363x = 5,815,740,121
  5. Step 5: Solve for x
    x = 5,815,740,121/35,363
  6. Step 6: Final answer
    x = 164,458.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.