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Finding the Third Proportional to 127,119 and 172,448.25

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Solution

The third proportional to 127,119 and 172,448.25 is: 233,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,119 : 172,448.25 = 172,448.25 : x
  2. Step 2: Convert to fraction form
    127,119/172,448.25 = 172,448.25/x
  3. Step 3: Cross multiply
    127,119x = 172,448.25 × 172,448.25
  4. Step 4: Simplify right side
    127,119x = 29,738,398,928.06
  5. Step 5: Solve for x
    x = 29,738,398,928.06/127,119
  6. Step 6: Final answer
    x = 233,941.42

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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.