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Finding the Third Proportional to 58,690 and 124,652

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Solution

The third proportional to 58,690 and 124,652 is: 264,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,690 : 124,652 = 124,652 : x
  2. Step 2: Convert to fraction form
    58,690/124,652 = 124,652/x
  3. Step 3: Cross multiply
    58,690x = 124,652 × 124,652
  4. Step 4: Simplify right side
    58,690x = 15,538,121,104
  5. Step 5: Solve for x
    x = 15,538,121,104/58,690
  6. Step 6: Final answer
    x = 264,749.04

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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.