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Finding the Third Proportional to 124,864.03 and 269,681.91

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Solution

The third proportional to 124,864.03 and 269,681.91 is: 582,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,864.03 : 269,681.91 = 269,681.91 : x
  2. Step 2: Convert to fraction form
    124,864.03/269,681.91 = 269,681.91/x
  3. Step 3: Cross multiply
    124,864.03x = 269,681.91 × 269,681.91
  4. Step 4: Simplify right side
    124,864.03x = 72,728,330,558.63
  5. Step 5: Solve for x
    x = 72,728,330,558.63/124,864.03
  6. Step 6: Final answer
    x = 582,460.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.