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Finding the Third Proportional to 121,570 and 184,034

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Solution

The third proportional to 121,570 and 184,034 is: 278,592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,570 : 184,034 = 184,034 : x
  2. Step 2: Convert to fraction form
    121,570/184,034 = 184,034/x
  3. Step 3: Cross multiply
    121,570x = 184,034 × 184,034
  4. Step 4: Simplify right side
    121,570x = 33,868,513,156
  5. Step 5: Solve for x
    x = 33,868,513,156/121,570
  6. Step 6: Final answer
    x = 278,592.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.