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Finding the Third Proportional to 74,176 and 93,983

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Solution

The third proportional to 74,176 and 93,983 is: 119,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,176 : 93,983 = 93,983 : x
  2. Step 2: Convert to fraction form
    74,176/93,983 = 93,983/x
  3. Step 3: Cross multiply
    74,176x = 93,983 × 93,983
  4. Step 4: Simplify right side
    74,176x = 8,832,804,289
  5. Step 5: Solve for x
    x = 8,832,804,289/74,176
  6. Step 6: Final answer
    x = 119,079.01

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.