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Finding the Third Proportional to 65,225.25 and 157,069.13

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Solution

The third proportional to 65,225.25 and 157,069.13 is: 378,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,225.25 : 157,069.13 = 157,069.13 : x
  2. Step 2: Convert to fraction form
    65,225.25/157,069.13 = 157,069.13/x
  3. Step 3: Cross multiply
    65,225.25x = 157,069.13 × 157,069.13
  4. Step 4: Simplify right side
    65,225.25x = 24,670,710,028.27
  5. Step 5: Solve for x
    x = 24,670,710,028.27/65,225.25
  6. Step 6: Final answer
    x = 378,238.64

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.