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Finding the Third Proportional to 82,135.58 and 176,541.71

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Solution

The third proportional to 82,135.58 and 176,541.71 is: 379,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,135.58 : 176,541.71 = 176,541.71 : x
  2. Step 2: Convert to fraction form
    82,135.58/176,541.71 = 176,541.71/x
  3. Step 3: Cross multiply
    82,135.58x = 176,541.71 × 176,541.71
  4. Step 4: Simplify right side
    82,135.58x = 31,166,977,079.97
  5. Step 5: Solve for x
    x = 31,166,977,079.97/82,135.58
  6. Step 6: Final answer
    x = 379,457.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.