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Finding the Third Proportional to 124,448 and 184,720

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Solution

The third proportional to 124,448 and 184,720 is: 274,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,448 : 184,720 = 184,720 : x
  2. Step 2: Convert to fraction form
    124,448/184,720 = 184,720/x
  3. Step 3: Cross multiply
    124,448x = 184,720 × 184,720
  4. Step 4: Simplify right side
    124,448x = 34,121,478,400
  5. Step 5: Solve for x
    x = 34,121,478,400/124,448
  6. Step 6: Final answer
    x = 274,182.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.