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Finding the Third Proportional to 36,253 and 79,648

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Solution

The third proportional to 36,253 and 79,648 is: 174,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,253 : 79,648 = 79,648 : x
  2. Step 2: Convert to fraction form
    36,253/79,648 = 79,648/x
  3. Step 3: Cross multiply
    36,253x = 79,648 × 79,648
  4. Step 4: Simplify right side
    36,253x = 6,343,803,904
  5. Step 5: Solve for x
    x = 6,343,803,904/36,253
  6. Step 6: Final answer
    x = 174,987.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.