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Finding the Third Proportional to 94,011 and 202,557

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Solution

The third proportional to 94,011 and 202,557 is: 436,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,011 : 202,557 = 202,557 : x
  2. Step 2: Convert to fraction form
    94,011/202,557 = 202,557/x
  3. Step 3: Cross multiply
    94,011x = 202,557 × 202,557
  4. Step 4: Simplify right side
    94,011x = 41,029,338,249
  5. Step 5: Solve for x
    x = 41,029,338,249/94,011
  6. Step 6: Final answer
    x = 436,431.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.