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Finding the Third Proportional to 79,853 and 133,093.50

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Solution

The third proportional to 79,853 and 133,093.50 is: 221,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,853 : 133,093.50 = 133,093.50 : x
  2. Step 2: Convert to fraction form
    79,853/133,093.50 = 133,093.50/x
  3. Step 3: Cross multiply
    79,853x = 133,093.50 × 133,093.50
  4. Step 4: Simplify right side
    79,853x = 17,713,879,742.25
  5. Step 5: Solve for x
    x = 17,713,879,742.25/79,853
  6. Step 6: Final answer
    x = 221,831.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.