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Finding the Third Proportional to 77,814 and 121,938.75

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Solution

The third proportional to 77,814 and 121,938.75 is: 191,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,814 : 121,938.75 = 121,938.75 : x
  2. Step 2: Convert to fraction form
    77,814/121,938.75 = 121,938.75/x
  3. Step 3: Cross multiply
    77,814x = 121,938.75 × 121,938.75
  4. Step 4: Simplify right side
    77,814x = 14,869,058,751.56
  5. Step 5: Solve for x
    x = 14,869,058,751.56/77,814
  6. Step 6: Final answer
    x = 191,084.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.