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Finding the Third Proportional to 84,528 and 111,168

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Solution

The third proportional to 84,528 and 111,168 is: 146,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,528 : 111,168 = 111,168 : x
  2. Step 2: Convert to fraction form
    84,528/111,168 = 111,168/x
  3. Step 3: Cross multiply
    84,528x = 111,168 × 111,168
  4. Step 4: Simplify right side
    84,528x = 12,358,324,224
  5. Step 5: Solve for x
    x = 12,358,324,224/84,528
  6. Step 6: Final answer
    x = 146,203.91

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Why These Related Problems?

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