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Finding the Third Proportional to 73,011 and 158,415

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Solution

The third proportional to 73,011 and 158,415 is: 343,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,011 : 158,415 = 158,415 : x
  2. Step 2: Convert to fraction form
    73,011/158,415 = 158,415/x
  3. Step 3: Cross multiply
    73,011x = 158,415 × 158,415
  4. Step 4: Simplify right side
    73,011x = 25,095,312,225
  5. Step 5: Solve for x
    x = 25,095,312,225/73,011
  6. Step 6: Final answer
    x = 343,719.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.