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Finding the Third Proportional to 75,233.65 and 110,178.67

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Solution

The third proportional to 75,233.65 and 110,178.67 is: 161,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,233.65 : 110,178.67 = 110,178.67 : x
  2. Step 2: Convert to fraction form
    75,233.65/110,178.67 = 110,178.67/x
  3. Step 3: Cross multiply
    75,233.65x = 110,178.67 × 110,178.67
  4. Step 4: Simplify right side
    75,233.65x = 12,139,338,875.37
  5. Step 5: Solve for x
    x = 12,139,338,875.37/75,233.65
  6. Step 6: Final answer
    x = 161,355.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.