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Finding the Third Proportional to 83,510 and 175,226

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Solution

The third proportional to 83,510 and 175,226 is: 367,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,510 : 175,226 = 175,226 : x
  2. Step 2: Convert to fraction form
    83,510/175,226 = 175,226/x
  3. Step 3: Cross multiply
    83,510x = 175,226 × 175,226
  4. Step 4: Simplify right side
    83,510x = 30,704,151,076
  5. Step 5: Solve for x
    x = 30,704,151,076/83,510
  6. Step 6: Final answer
    x = 367,670.35

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.