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Finding the Third Proportional to 94,747 and 202,623

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Solution

The third proportional to 94,747 and 202,623 is: 433,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,747 : 202,623 = 202,623 : x
  2. Step 2: Convert to fraction form
    94,747/202,623 = 202,623/x
  3. Step 3: Cross multiply
    94,747x = 202,623 × 202,623
  4. Step 4: Simplify right side
    94,747x = 41,056,080,129
  5. Step 5: Solve for x
    x = 41,056,080,129/94,747
  6. Step 6: Final answer
    x = 433,323.27

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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.