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Finding the Third Proportional to 73,008 and 157,656

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Solution

The third proportional to 73,008 and 157,656 is: 340,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,008 : 157,656 = 157,656 : x
  2. Step 2: Convert to fraction form
    73,008/157,656 = 157,656/x
  3. Step 3: Cross multiply
    73,008x = 157,656 × 157,656
  4. Step 4: Simplify right side
    73,008x = 24,855,414,336
  5. Step 5: Solve for x
    x = 24,855,414,336/73,008
  6. Step 6: Final answer
    x = 340,447.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.