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Finding the Third Proportional to 77,403 and 114,669.75

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Solution

The third proportional to 77,403 and 114,669.75 is: 169,879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,403 : 114,669.75 = 114,669.75 : x
  2. Step 2: Convert to fraction form
    77,403/114,669.75 = 114,669.75/x
  3. Step 3: Cross multiply
    77,403x = 114,669.75 × 114,669.75
  4. Step 4: Simplify right side
    77,403x = 13,149,151,565.06
  5. Step 5: Solve for x
    x = 13,149,151,565.06/77,403
  6. Step 6: Final answer
    x = 169,879.09

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.