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Finding the Third Proportional to 71,237 and 110,298

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Solution

The third proportional to 71,237 and 110,298 is: 170,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,237 : 110,298 = 110,298 : x
  2. Step 2: Convert to fraction form
    71,237/110,298 = 110,298/x
  3. Step 3: Cross multiply
    71,237x = 110,298 × 110,298
  4. Step 4: Simplify right side
    71,237x = 12,165,648,804
  5. Step 5: Solve for x
    x = 12,165,648,804/71,237
  6. Step 6: Final answer
    x = 170,777.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.