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Finding the Third Proportional to 74,406.75 and 112,281

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Solution

The third proportional to 74,406.75 and 112,281 is: 169,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,406.75 : 112,281 = 112,281 : x
  2. Step 2: Convert to fraction form
    74,406.75/112,281 = 112,281/x
  3. Step 3: Cross multiply
    74,406.75x = 112,281 × 112,281
  4. Step 4: Simplify right side
    74,406.75x = 12,607,022,961
  5. Step 5: Solve for x
    x = 12,607,022,961/74,406.75
  6. Step 6: Final answer
    x = 169,433.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.