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Finding the Third Proportional to 39,106 and 84,294

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Solution

The third proportional to 39,106 and 84,294 is: 181,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,106 : 84,294 = 84,294 : x
  2. Step 2: Convert to fraction form
    39,106/84,294 = 84,294/x
  3. Step 3: Cross multiply
    39,106x = 84,294 × 84,294
  4. Step 4: Simplify right side
    39,106x = 7,105,478,436
  5. Step 5: Solve for x
    x = 7,105,478,436/39,106
  6. Step 6: Final answer
    x = 181,697.91

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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.