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Finding the Third Proportional to 127,152 and 172,690

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Solution

The third proportional to 127,152 and 172,690 is: 234,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,152 : 172,690 = 172,690 : x
  2. Step 2: Convert to fraction form
    127,152/172,690 = 172,690/x
  3. Step 3: Cross multiply
    127,152x = 172,690 × 172,690
  4. Step 4: Simplify right side
    127,152x = 29,821,836,100
  5. Step 5: Solve for x
    x = 29,821,836,100/127,152
  6. Step 6: Final answer
    x = 234,536.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.