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Finding the Third Proportional to 48,116 and 75,498

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Solution

The third proportional to 48,116 and 75,498 is: 118,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,116 : 75,498 = 75,498 : x
  2. Step 2: Convert to fraction form
    48,116/75,498 = 75,498/x
  3. Step 3: Cross multiply
    48,116x = 75,498 × 75,498
  4. Step 4: Simplify right side
    48,116x = 5,699,948,004
  5. Step 5: Solve for x
    x = 5,699,948,004/48,116
  6. Step 6: Final answer
    x = 118,462.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.