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Finding the Third Proportional to 35,699 and 74,206

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Solution

The third proportional to 35,699 and 74,206 is: 154,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,699 : 74,206 = 74,206 : x
  2. Step 2: Convert to fraction form
    35,699/74,206 = 74,206/x
  3. Step 3: Cross multiply
    35,699x = 74,206 × 74,206
  4. Step 4: Simplify right side
    35,699x = 5,506,530,436
  5. Step 5: Solve for x
    x = 5,506,530,436/35,699
  6. Step 6: Final answer
    x = 154,248.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.