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Finding the Third Proportional to 39,194 and 83,230

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Solution

The third proportional to 39,194 and 83,230 is: 176,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,194 : 83,230 = 83,230 : x
  2. Step 2: Convert to fraction form
    39,194/83,230 = 83,230/x
  3. Step 3: Cross multiply
    39,194x = 83,230 × 83,230
  4. Step 4: Simplify right side
    39,194x = 6,927,232,900
  5. Step 5: Solve for x
    x = 6,927,232,900/39,194
  6. Step 6: Final answer
    x = 176,742.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.