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Finding the Third Proportional to 35,206 and 76,484

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Solution

The third proportional to 35,206 and 76,484 is: 166,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,206 : 76,484 = 76,484 : x
  2. Step 2: Convert to fraction form
    35,206/76,484 = 76,484/x
  3. Step 3: Cross multiply
    35,206x = 76,484 × 76,484
  4. Step 4: Simplify right side
    35,206x = 5,849,802,256
  5. Step 5: Solve for x
    x = 5,849,802,256/35,206
  6. Step 6: Final answer
    x = 166,159.24

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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.