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Finding the Third Proportional to 73,064 and 157,216

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Solution

The third proportional to 73,064 and 157,216 is: 338,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,064 : 157,216 = 157,216 : x
  2. Step 2: Convert to fraction form
    73,064/157,216 = 157,216/x
  3. Step 3: Cross multiply
    73,064x = 157,216 × 157,216
  4. Step 4: Simplify right side
    73,064x = 24,716,870,656
  5. Step 5: Solve for x
    x = 24,716,870,656/73,064
  6. Step 6: Final answer
    x = 338,290.69

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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.