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Finding the Third Proportional to 35,221 and 76,316

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Solution

The third proportional to 35,221 and 76,316 is: 165,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,221 : 76,316 = 76,316 : x
  2. Step 2: Convert to fraction form
    35,221/76,316 = 76,316/x
  3. Step 3: Cross multiply
    35,221x = 76,316 × 76,316
  4. Step 4: Simplify right side
    35,221x = 5,824,131,856
  5. Step 5: Solve for x
    x = 5,824,131,856/35,221
  6. Step 6: Final answer
    x = 165,359.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.