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Finding the Third Proportional to 88,977 and 120,100.50

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Solution

The third proportional to 88,977 and 120,100.50 is: 162,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,977 : 120,100.50 = 120,100.50 : x
  2. Step 2: Convert to fraction form
    88,977/120,100.50 = 120,100.50/x
  3. Step 3: Cross multiply
    88,977x = 120,100.50 × 120,100.50
  4. Step 4: Simplify right side
    88,977x = 14,424,130,100.25
  5. Step 5: Solve for x
    x = 14,424,130,100.25/88,977
  6. Step 6: Final answer
    x = 162,110.77

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.