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Finding the Third Proportional to 124,810 and 201,061

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Solution

The third proportional to 124,810 and 201,061 is: 323,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,810 : 201,061 = 201,061 : x
  2. Step 2: Convert to fraction form
    124,810/201,061 = 201,061/x
  3. Step 3: Cross multiply
    124,810x = 201,061 × 201,061
  4. Step 4: Simplify right side
    124,810x = 40,425,525,721
  5. Step 5: Solve for x
    x = 40,425,525,721/124,810
  6. Step 6: Final answer
    x = 323,896.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.