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Finding the Third Proportional to 76,364 and 157,965

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Solution

The third proportional to 76,364 and 157,965 is: 326,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,364 : 157,965 = 157,965 : x
  2. Step 2: Convert to fraction form
    76,364/157,965 = 157,965/x
  3. Step 3: Cross multiply
    76,364x = 157,965 × 157,965
  4. Step 4: Simplify right side
    76,364x = 24,952,941,225
  5. Step 5: Solve for x
    x = 24,952,941,225/76,364
  6. Step 6: Final answer
    x = 326,763.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.