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Finding the Third Proportional to 60,111 and 130,671

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Solution

The third proportional to 60,111 and 130,671 is: 284,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,111 : 130,671 = 130,671 : x
  2. Step 2: Convert to fraction form
    60,111/130,671 = 130,671/x
  3. Step 3: Cross multiply
    60,111x = 130,671 × 130,671
  4. Step 4: Simplify right side
    60,111x = 17,074,910,241
  5. Step 5: Solve for x
    x = 17,074,910,241/60,111
  6. Step 6: Final answer
    x = 284,056.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.