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Finding the Third Proportional to 73,184 and 157,768

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Solution

The third proportional to 73,184 and 157,768 is: 340,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,184 : 157,768 = 157,768 : x
  2. Step 2: Convert to fraction form
    73,184/157,768 = 157,768/x
  3. Step 3: Cross multiply
    73,184x = 157,768 × 157,768
  4. Step 4: Simplify right side
    73,184x = 24,890,741,824
  5. Step 5: Solve for x
    x = 24,890,741,824/73,184
  6. Step 6: Final answer
    x = 340,111.80

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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.