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Finding the Third Proportional to 127,334.63 and 172,317.94

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Solution

The third proportional to 127,334.63 and 172,317.94 is: 233,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,334.63 : 172,317.94 = 172,317.94 : x
  2. Step 2: Convert to fraction form
    127,334.63/172,317.94 = 172,317.94/x
  3. Step 3: Cross multiply
    127,334.63x = 172,317.94 × 172,317.94
  4. Step 4: Simplify right side
    127,334.63x = 29,693,471,584.25
  5. Step 5: Solve for x
    x = 29,693,471,584.25/127,334.63
  6. Step 6: Final answer
    x = 233,192.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.