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Finding the Third Proportional to 127,210.13 and 172,761.75

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Solution

The third proportional to 127,210.13 and 172,761.75 is: 234,624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,210.13 : 172,761.75 = 172,761.75 : x
  2. Step 2: Convert to fraction form
    127,210.13/172,761.75 = 172,761.75/x
  3. Step 3: Cross multiply
    127,210.13x = 172,761.75 × 172,761.75
  4. Step 4: Simplify right side
    127,210.13x = 29,846,622,263.06
  5. Step 5: Solve for x
    x = 29,846,622,263.06/127,210.13
  6. Step 6: Final answer
    x = 234,624.58

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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.