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Finding the Third Proportional to 60,181 and 93,136

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Solution

The third proportional to 60,181 and 93,136 is: 144,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,181 : 93,136 = 93,136 : x
  2. Step 2: Convert to fraction form
    60,181/93,136 = 93,136/x
  3. Step 3: Cross multiply
    60,181x = 93,136 × 93,136
  4. Step 4: Simplify right side
    60,181x = 8,674,314,496
  5. Step 5: Solve for x
    x = 8,674,314,496/60,181
  6. Step 6: Final answer
    x = 144,137.09

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Why These Related Problems?

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