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Finding the Third Proportional to 73,011 and 158,414.50

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Solution

The third proportional to 73,011 and 158,414.50 is: 343,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,011 : 158,414.50 = 158,414.50 : x
  2. Step 2: Convert to fraction form
    73,011/158,414.50 = 158,414.50/x
  3. Step 3: Cross multiply
    73,011x = 158,414.50 × 158,414.50
  4. Step 4: Simplify right side
    73,011x = 25,095,153,810.25
  5. Step 5: Solve for x
    x = 25,095,153,810.25/73,011
  6. Step 6: Final answer
    x = 343,717.44

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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.