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Finding the Third Proportional to 36,306 and 78,643.13

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Solution

The third proportional to 36,306 and 78,643.13 is: 170,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,306 : 78,643.13 = 78,643.13 : x
  2. Step 2: Convert to fraction form
    36,306/78,643.13 = 78,643.13/x
  3. Step 3: Cross multiply
    36,306x = 78,643.13 × 78,643.13
  4. Step 4: Simplify right side
    36,306x = 6,184,741,109.77
  5. Step 5: Solve for x
    x = 6,184,741,109.77/36,306
  6. Step 6: Final answer
    x = 170,350.39

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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.