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Finding the Third Proportional to 48,957 and 74,457

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Solution

The third proportional to 48,957 and 74,457 is: 113,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,957 : 74,457 = 74,457 : x
  2. Step 2: Convert to fraction form
    48,957/74,457 = 74,457/x
  3. Step 3: Cross multiply
    48,957x = 74,457 × 74,457
  4. Step 4: Simplify right side
    48,957x = 5,543,844,849
  5. Step 5: Solve for x
    x = 5,543,844,849/48,957
  6. Step 6: Final answer
    x = 113,239.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.