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Finding the Third Proportional to 71,237 and 152,009

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Solution

The third proportional to 71,237 and 152,009 is: 324,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,237 : 152,009 = 152,009 : x
  2. Step 2: Convert to fraction form
    71,237/152,009 = 152,009/x
  3. Step 3: Cross multiply
    71,237x = 152,009 × 152,009
  4. Step 4: Simplify right side
    71,237x = 23,106,736,081
  5. Step 5: Solve for x
    x = 23,106,736,081/71,237
  6. Step 6: Final answer
    x = 324,364.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.