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Finding the Third Proportional to 78,163 and 121,105.75

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Solution

The third proportional to 78,163 and 121,105.75 is: 187,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163 : 121,105.75 = 121,105.75 : x
  2. Step 2: Convert to fraction form
    78,163/121,105.75 = 121,105.75/x
  3. Step 3: Cross multiply
    78,163x = 121,105.75 × 121,105.75
  4. Step 4: Simplify right side
    78,163x = 14,666,602,683.06
  5. Step 5: Solve for x
    x = 14,666,602,683.06/78,163
  6. Step 6: Final answer
    x = 187,641.25

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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.