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Finding the Third Proportional to 58,472 and 124,728

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Solution

The third proportional to 58,472 and 124,728 is: 266,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,472 : 124,728 = 124,728 : x
  2. Step 2: Convert to fraction form
    58,472/124,728 = 124,728/x
  3. Step 3: Cross multiply
    58,472x = 124,728 × 124,728
  4. Step 4: Simplify right side
    58,472x = 15,557,073,984
  5. Step 5: Solve for x
    x = 15,557,073,984/58,472
  6. Step 6: Final answer
    x = 266,060.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.