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Finding the Third Proportional to 94,802.50 and 202,727

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Solution

The third proportional to 94,802.50 and 202,727 is: 433,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,802.50 : 202,727 = 202,727 : x
  2. Step 2: Convert to fraction form
    94,802.50/202,727 = 202,727/x
  3. Step 3: Cross multiply
    94,802.50x = 202,727 × 202,727
  4. Step 4: Simplify right side
    94,802.50x = 41,098,236,529
  5. Step 5: Solve for x
    x = 41,098,236,529/94,802.50
  6. Step 6: Final answer
    x = 433,514.27

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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.