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Finding the Third Proportional to 58,232 and 125,378

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Solution

The third proportional to 58,232 and 125,378 is: 269,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,232 : 125,378 = 125,378 : x
  2. Step 2: Convert to fraction form
    58,232/125,378 = 125,378/x
  3. Step 3: Cross multiply
    58,232x = 125,378 × 125,378
  4. Step 4: Simplify right side
    58,232x = 15,719,642,884
  5. Step 5: Solve for x
    x = 15,719,642,884/58,232
  6. Step 6: Final answer
    x = 269,948.53

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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.