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Finding the Third Proportional to 60,491 and 96,085

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Solution

The third proportional to 60,491 and 96,085 is: 152,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,491 : 96,085 = 96,085 : x
  2. Step 2: Convert to fraction form
    60,491/96,085 = 96,085/x
  3. Step 3: Cross multiply
    60,491x = 96,085 × 96,085
  4. Step 4: Simplify right side
    60,491x = 9,232,327,225
  5. Step 5: Solve for x
    x = 9,232,327,225/60,491
  6. Step 6: Final answer
    x = 152,623.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.