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Finding the Third Proportional to 82,252.13 and 174,880.69

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Solution

The third proportional to 82,252.13 and 174,880.69 is: 371,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,252.13 : 174,880.69 = 174,880.69 : x
  2. Step 2: Convert to fraction form
    82,252.13/174,880.69 = 174,880.69/x
  3. Step 3: Cross multiply
    82,252.13x = 174,880.69 × 174,880.69
  4. Step 4: Simplify right side
    82,252.13x = 30,583,254,860.47
  5. Step 5: Solve for x
    x = 30,583,254,860.47/82,252.13
  6. Step 6: Final answer
    x = 371,823.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.