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Finding the Third Proportional to 42,249 and 56,905

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Solution

The third proportional to 42,249 and 56,905 is: 76,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,249 : 56,905 = 56,905 : x
  2. Step 2: Convert to fraction form
    42,249/56,905 = 56,905/x
  3. Step 3: Cross multiply
    42,249x = 56,905 × 56,905
  4. Step 4: Simplify right side
    42,249x = 3,238,179,025
  5. Step 5: Solve for x
    x = 3,238,179,025/42,249
  6. Step 6: Final answer
    x = 76,645.10

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.