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Finding the Third Proportional to 78,178 and 121,210

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Solution

The third proportional to 78,178 and 121,210 is: 187,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,178 : 121,210 = 121,210 : x
  2. Step 2: Convert to fraction form
    78,178/121,210 = 121,210/x
  3. Step 3: Cross multiply
    78,178x = 121,210 × 121,210
  4. Step 4: Simplify right side
    78,178x = 14,691,864,100
  5. Step 5: Solve for x
    x = 14,691,864,100/78,178
  6. Step 6: Final answer
    x = 187,928.37

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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.