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Finding the Third Proportional to 48,994 and 75,701

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Solution

The third proportional to 48,994 and 75,701 is: 116,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,994 : 75,701 = 75,701 : x
  2. Step 2: Convert to fraction form
    48,994/75,701 = 75,701/x
  3. Step 3: Cross multiply
    48,994x = 75,701 × 75,701
  4. Step 4: Simplify right side
    48,994x = 5,730,641,401
  5. Step 5: Solve for x
    x = 5,730,641,401/48,994
  6. Step 6: Final answer
    x = 116,966.19

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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.