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Finding the Third Proportional to 75,976 and 117,948

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Solution

The third proportional to 75,976 and 117,948 is: 183,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,976 : 117,948 = 117,948 : x
  2. Step 2: Convert to fraction form
    75,976/117,948 = 117,948/x
  3. Step 3: Cross multiply
    75,976x = 117,948 × 117,948
  4. Step 4: Simplify right side
    75,976x = 13,911,730,704
  5. Step 5: Solve for x
    x = 13,911,730,704/75,976
  6. Step 6: Final answer
    x = 183,106.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.