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Finding the Third Proportional to 44,135.75 and 97,179

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Solution

The third proportional to 44,135.75 and 97,179 is: 213,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,135.75 : 97,179 = 97,179 : x
  2. Step 2: Convert to fraction form
    44,135.75/97,179 = 97,179/x
  3. Step 3: Cross multiply
    44,135.75x = 97,179 × 97,179
  4. Step 4: Simplify right side
    44,135.75x = 9,443,758,041
  5. Step 5: Solve for x
    x = 9,443,758,041/44,135.75
  6. Step 6: Final answer
    x = 213,970.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.