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Finding the Third Proportional to 124,637.50 and 270,305

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Solution

The third proportional to 124,637.50 and 270,305 is: 586,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,637.50 : 270,305 = 270,305 : x
  2. Step 2: Convert to fraction form
    124,637.50/270,305 = 270,305/x
  3. Step 3: Cross multiply
    124,637.50x = 270,305 × 270,305
  4. Step 4: Simplify right side
    124,637.50x = 73,064,793,025
  5. Step 5: Solve for x
    x = 73,064,793,025/124,637.50
  6. Step 6: Final answer
    x = 586,218.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.