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Finding the Third Proportional to 84,707.50 and 112,928

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Solution

The third proportional to 84,707.50 and 112,928 is: 150,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,707.50 : 112,928 = 112,928 : x
  2. Step 2: Convert to fraction form
    84,707.50/112,928 = 112,928/x
  3. Step 3: Cross multiply
    84,707.50x = 112,928 × 112,928
  4. Step 4: Simplify right side
    84,707.50x = 12,752,733,184
  5. Step 5: Solve for x
    x = 12,752,733,184/84,707.50
  6. Step 6: Final answer
    x = 150,550.22

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.