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Finding the Third Proportional to 60,546 and 83,113.25

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Solution

The third proportional to 60,546 and 83,113.25 is: 114,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,546 : 83,113.25 = 83,113.25 : x
  2. Step 2: Convert to fraction form
    60,546/83,113.25 = 83,113.25/x
  3. Step 3: Cross multiply
    60,546x = 83,113.25 × 83,113.25
  4. Step 4: Simplify right side
    60,546x = 6,907,812,325.56
  5. Step 5: Solve for x
    x = 6,907,812,325.56/60,546
  6. Step 6: Final answer
    x = 114,091.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.