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Finding the Third Proportional to 36,145.30 and 77,723.93

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Solution

The third proportional to 36,145.30 and 77,723.93 is: 167,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,145.30 : 77,723.93 = 77,723.93 : x
  2. Step 2: Convert to fraction form
    36,145.30/77,723.93 = 77,723.93/x
  3. Step 3: Cross multiply
    36,145.30x = 77,723.93 × 77,723.93
  4. Step 4: Simplify right side
    36,145.30x = 6,041,009,246.07
  5. Step 5: Solve for x
    x = 6,041,009,246.07/36,145.30
  6. Step 6: Final answer
    x = 167,131.25

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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.