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Finding the Third Proportional to 71,289.75 and 110,372.63

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Solution

The third proportional to 71,289.75 and 110,372.63 is: 170,881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,289.75 : 110,372.63 = 110,372.63 : x
  2. Step 2: Convert to fraction form
    71,289.75/110,372.63 = 110,372.63/x
  3. Step 3: Cross multiply
    71,289.75x = 110,372.63 × 110,372.63
  4. Step 4: Simplify right side
    71,289.75x = 12,182,116,349.39
  5. Step 5: Solve for x
    x = 12,182,116,349.39/71,289.75
  6. Step 6: Final answer
    x = 170,881.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.