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Finding the Third Proportional to 78,174 and 121,120

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Solution

The third proportional to 78,174 and 121,120 is: 187,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,174 : 121,120 = 121,120 : x
  2. Step 2: Convert to fraction form
    78,174/121,120 = 121,120/x
  3. Step 3: Cross multiply
    78,174x = 121,120 × 121,120
  4. Step 4: Simplify right side
    78,174x = 14,670,054,400
  5. Step 5: Solve for x
    x = 14,670,054,400/78,174
  6. Step 6: Final answer
    x = 187,659.00

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