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Finding the Third Proportional to 73,820 and 114,616

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Solution

The third proportional to 73,820 and 114,616 is: 177,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,820 : 114,616 = 114,616 : x
  2. Step 2: Convert to fraction form
    73,820/114,616 = 114,616/x
  3. Step 3: Cross multiply
    73,820x = 114,616 × 114,616
  4. Step 4: Simplify right side
    73,820x = 13,136,827,456
  5. Step 5: Solve for x
    x = 13,136,827,456/73,820
  6. Step 6: Final answer
    x = 177,957.57

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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.