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Finding the Third Proportional to 45,078 and 84,516

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Solution

The third proportional to 45,078 and 84,516 is: 158,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,078 : 84,516 = 84,516 : x
  2. Step 2: Convert to fraction form
    45,078/84,516 = 84,516/x
  3. Step 3: Cross multiply
    45,078x = 84,516 × 84,516
  4. Step 4: Simplify right side
    45,078x = 7,142,954,256
  5. Step 5: Solve for x
    x = 7,142,954,256/45,078
  6. Step 6: Final answer
    x = 158,457.66

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.