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Finding the Third Proportional to 67,169 and 147,106

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Solution

The third proportional to 67,169 and 147,106 is: 322,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,169 : 147,106 = 147,106 : x
  2. Step 2: Convert to fraction form
    67,169/147,106 = 147,106/x
  3. Step 3: Cross multiply
    67,169x = 147,106 × 147,106
  4. Step 4: Simplify right side
    67,169x = 21,640,175,236
  5. Step 5: Solve for x
    x = 21,640,175,236/67,169
  6. Step 6: Final answer
    x = 322,175.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.