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Finding the Third Proportional to 48,754 and 74,905

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Solution

The third proportional to 48,754 and 74,905 is: 115,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,754 : 74,905 = 74,905 : x
  2. Step 2: Convert to fraction form
    48,754/74,905 = 74,905/x
  3. Step 3: Cross multiply
    48,754x = 74,905 × 74,905
  4. Step 4: Simplify right side
    48,754x = 5,610,759,025
  5. Step 5: Solve for x
    x = 5,610,759,025/48,754
  6. Step 6: Final answer
    x = 115,083.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.