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Finding the Third Proportional to 30,092 and 65,206

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Solution

The third proportional to 30,092 and 65,206 is: 141,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,092 : 65,206 = 65,206 : x
  2. Step 2: Convert to fraction form
    30,092/65,206 = 65,206/x
  3. Step 3: Cross multiply
    30,092x = 65,206 × 65,206
  4. Step 4: Simplify right side
    30,092x = 4,251,822,436
  5. Step 5: Solve for x
    x = 4,251,822,436/30,092
  6. Step 6: Final answer
    x = 141,294.11

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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.