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Finding the Third Proportional to 74,121 and 110,977.50

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Solution

The third proportional to 74,121 and 110,977.50 is: 166,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,121 : 110,977.50 = 110,977.50 : x
  2. Step 2: Convert to fraction form
    74,121/110,977.50 = 110,977.50/x
  3. Step 3: Cross multiply
    74,121x = 110,977.50 × 110,977.50
  4. Step 4: Simplify right side
    74,121x = 12,316,005,506.25
  5. Step 5: Solve for x
    x = 12,316,005,506.25/74,121
  6. Step 6: Final answer
    x = 166,160.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.