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Finding the Third Proportional to 40,907 and 88,254

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Solution

The third proportional to 40,907 and 88,254 is: 190,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,907 : 88,254 = 88,254 : x
  2. Step 2: Convert to fraction form
    40,907/88,254 = 88,254/x
  3. Step 3: Cross multiply
    40,907x = 88,254 × 88,254
  4. Step 4: Simplify right side
    40,907x = 7,788,768,516
  5. Step 5: Solve for x
    x = 7,788,768,516/40,907
  6. Step 6: Final answer
    x = 190,401.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.