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Finding the Third Proportional to 78,842 and 121,197

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Solution

The third proportional to 78,842 and 121,197 is: 186,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,842 : 121,197 = 121,197 : x
  2. Step 2: Convert to fraction form
    78,842/121,197 = 121,197/x
  3. Step 3: Cross multiply
    78,842x = 121,197 × 121,197
  4. Step 4: Simplify right side
    78,842x = 14,688,712,809
  5. Step 5: Solve for x
    x = 14,688,712,809/78,842
  6. Step 6: Final answer
    x = 186,305.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.