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Finding the Third Proportional to 36,026 and 77,602

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Solution

The third proportional to 36,026 and 77,602 is: 167,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,026 : 77,602 = 77,602 : x
  2. Step 2: Convert to fraction form
    36,026/77,602 = 77,602/x
  3. Step 3: Cross multiply
    36,026x = 77,602 × 77,602
  4. Step 4: Simplify right side
    36,026x = 6,022,070,404
  5. Step 5: Solve for x
    x = 6,022,070,404/36,026
  6. Step 6: Final answer
    x = 167,159.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.