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Finding the Third Proportional to 107,967.94 and 172,492.03

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Solution

The third proportional to 107,967.94 and 172,492.03 is: 275,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,967.94 : 172,492.03 = 172,492.03 : x
  2. Step 2: Convert to fraction form
    107,967.94/172,492.03 = 172,492.03/x
  3. Step 3: Cross multiply
    107,967.94x = 172,492.03 × 172,492.03
  4. Step 4: Simplify right side
    107,967.94x = 29,753,500,844.75
  5. Step 5: Solve for x
    x = 29,753,500,844.75/107,967.94
  6. Step 6: Final answer
    x = 275,577.19

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.