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Finding the Third Proportional to 58,484 and 125,644

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Solution

The third proportional to 58,484 and 125,644 is: 269,927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,484 : 125,644 = 125,644 : x
  2. Step 2: Convert to fraction form
    58,484/125,644 = 125,644/x
  3. Step 3: Cross multiply
    58,484x = 125,644 × 125,644
  4. Step 4: Simplify right side
    58,484x = 15,786,414,736
  5. Step 5: Solve for x
    x = 15,786,414,736/58,484
  6. Step 6: Final answer
    x = 269,927.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.