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Finding the Third Proportional to 78,135.75 and 120,447

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Solution

The third proportional to 78,135.75 and 120,447 is: 185,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,135.75 : 120,447 = 120,447 : x
  2. Step 2: Convert to fraction form
    78,135.75/120,447 = 120,447/x
  3. Step 3: Cross multiply
    78,135.75x = 120,447 × 120,447
  4. Step 4: Simplify right side
    78,135.75x = 14,507,479,809
  5. Step 5: Solve for x
    x = 14,507,479,809/78,135.75
  6. Step 6: Final answer
    x = 185,670.19

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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.