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Finding the Third Proportional to 60,983 and 95,789

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Solution

The third proportional to 60,983 and 95,789 is: 150,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,983 : 95,789 = 95,789 : x
  2. Step 2: Convert to fraction form
    60,983/95,789 = 95,789/x
  3. Step 3: Cross multiply
    60,983x = 95,789 × 95,789
  4. Step 4: Simplify right side
    60,983x = 9,175,532,521
  5. Step 5: Solve for x
    x = 9,175,532,521/60,983
  6. Step 6: Final answer
    x = 150,460.50

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