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Finding the Third Proportional to 74,783.25 and 112,083.75

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Solution

The third proportional to 74,783.25 and 112,083.75 is: 167,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,783.25 : 112,083.75 = 112,083.75 : x
  2. Step 2: Convert to fraction form
    74,783.25/112,083.75 = 112,083.75/x
  3. Step 3: Cross multiply
    74,783.25x = 112,083.75 × 112,083.75
  4. Step 4: Simplify right side
    74,783.25x = 12,562,767,014.06
  5. Step 5: Solve for x
    x = 12,562,767,014.06/74,783.25
  6. Step 6: Final answer
    x = 167,989.05

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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.