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Finding the Third Proportional to 91,146 and 121,950.75

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Solution

The third proportional to 91,146 and 121,950.75 is: 163,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,146 : 121,950.75 = 121,950.75 : x
  2. Step 2: Convert to fraction form
    91,146/121,950.75 = 121,950.75/x
  3. Step 3: Cross multiply
    91,146x = 121,950.75 × 121,950.75
  4. Step 4: Simplify right side
    91,146x = 14,871,985,425.56
  5. Step 5: Solve for x
    x = 14,871,985,425.56/91,146
  6. Step 6: Final answer
    x = 163,166.63

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.