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Finding the Third Proportional to 115,953 and 184,448

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Solution

The third proportional to 115,953 and 184,448 is: 293,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,953 : 184,448 = 184,448 : x
  2. Step 2: Convert to fraction form
    115,953/184,448 = 184,448/x
  3. Step 3: Cross multiply
    115,953x = 184,448 × 184,448
  4. Step 4: Simplify right side
    115,953x = 34,021,064,704
  5. Step 5: Solve for x
    x = 34,021,064,704/115,953
  6. Step 6: Final answer
    x = 293,403.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.