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Finding the Third Proportional to 73,710 and 157,937.25

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Solution

The third proportional to 73,710 and 157,937.25 is: 338,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,710 : 157,937.25 = 157,937.25 : x
  2. Step 2: Convert to fraction form
    73,710/157,937.25 = 157,937.25/x
  3. Step 3: Cross multiply
    73,710x = 157,937.25 × 157,937.25
  4. Step 4: Simplify right side
    73,710x = 24,944,174,937.56
  5. Step 5: Solve for x
    x = 24,944,174,937.56/73,710
  6. Step 6: Final answer
    x = 338,409.65

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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.