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Finding the Third Proportional to 58,869 and 124,724

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Solution

The third proportional to 58,869 and 124,724 is: 264,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,869 : 124,724 = 124,724 : x
  2. Step 2: Convert to fraction form
    58,869/124,724 = 124,724/x
  3. Step 3: Cross multiply
    58,869x = 124,724 × 124,724
  4. Step 4: Simplify right side
    58,869x = 15,556,076,176
  5. Step 5: Solve for x
    x = 15,556,076,176/58,869
  6. Step 6: Final answer
    x = 264,249.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.