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Finding the Third Proportional to 59,249 and 94,226

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Solution

The third proportional to 59,249 and 94,226 is: 149,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,249 : 94,226 = 94,226 : x
  2. Step 2: Convert to fraction form
    59,249/94,226 = 94,226/x
  3. Step 3: Cross multiply
    59,249x = 94,226 × 94,226
  4. Step 4: Simplify right side
    59,249x = 8,878,539,076
  5. Step 5: Solve for x
    x = 8,878,539,076/59,249
  6. Step 6: Final answer
    x = 149,851.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.