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Finding the Third Proportional to 73,710 and 157,937.34

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Solution

The third proportional to 73,710 and 157,937.34 is: 338,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,710 : 157,937.34 = 157,937.34 : x
  2. Step 2: Convert to fraction form
    73,710/157,937.34 = 157,937.34/x
  3. Step 3: Cross multiply
    73,710x = 157,937.34 × 157,937.34
  4. Step 4: Simplify right side
    73,710x = 24,944,204,550.81
  5. Step 5: Solve for x
    x = 24,944,204,550.81/73,710
  6. Step 6: Final answer
    x = 338,410.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.