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Finding the Third Proportional to 72,844 and 112,500.75

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Solution

The third proportional to 72,844 and 112,500.75 is: 173,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,844 : 112,500.75 = 112,500.75 : x
  2. Step 2: Convert to fraction form
    72,844/112,500.75 = 112,500.75/x
  3. Step 3: Cross multiply
    72,844x = 112,500.75 × 112,500.75
  4. Step 4: Simplify right side
    72,844x = 12,656,418,750.56
  5. Step 5: Solve for x
    x = 12,656,418,750.56/72,844
  6. Step 6: Final answer
    x = 173,746.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.