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Finding the Third Proportional to 121,887 and 188,358

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Solution

The third proportional to 121,887 and 188,358 is: 291,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,887 : 188,358 = 188,358 : x
  2. Step 2: Convert to fraction form
    121,887/188,358 = 188,358/x
  3. Step 3: Cross multiply
    121,887x = 188,358 × 188,358
  4. Step 4: Simplify right side
    121,887x = 35,478,736,164
  5. Step 5: Solve for x
    x = 35,478,736,164/121,887
  6. Step 6: Final answer
    x = 291,078.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.