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Finding the Third Proportional to 48,605 and 75,062

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Solution

The third proportional to 48,605 and 75,062 is: 115,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,605 : 75,062 = 75,062 : x
  2. Step 2: Convert to fraction form
    48,605/75,062 = 75,062/x
  3. Step 3: Cross multiply
    48,605x = 75,062 × 75,062
  4. Step 4: Simplify right side
    48,605x = 5,634,303,844
  5. Step 5: Solve for x
    x = 5,634,303,844/48,605
  6. Step 6: Final answer
    x = 115,920.25

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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.