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Finding the Third Proportional to 84,574 and 111,235

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Solution

The third proportional to 84,574 and 111,235 is: 146,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,574 : 111,235 = 111,235 : x
  2. Step 2: Convert to fraction form
    84,574/111,235 = 111,235/x
  3. Step 3: Cross multiply
    84,574x = 111,235 × 111,235
  4. Step 4: Simplify right side
    84,574x = 12,373,225,225
  5. Step 5: Solve for x
    x = 12,373,225,225/84,574
  6. Step 6: Final answer
    x = 146,300.58

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.