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Finding the Third Proportional to 127,124 and 172,650.25

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Solution

The third proportional to 127,124 and 172,650.25 is: 234,480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,124 : 172,650.25 = 172,650.25 : x
  2. Step 2: Convert to fraction form
    127,124/172,650.25 = 172,650.25/x
  3. Step 3: Cross multiply
    127,124x = 172,650.25 × 172,650.25
  4. Step 4: Simplify right side
    127,124x = 29,808,108,825.06
  5. Step 5: Solve for x
    x = 29,808,108,825.06/127,124
  6. Step 6: Final answer
    x = 234,480.58

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