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Finding the Third Proportional to 82,071.66 and 176,403.84

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Solution

The third proportional to 82,071.66 and 176,403.84 is: 379,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,071.66 : 176,403.84 = 176,403.84 : x
  2. Step 2: Convert to fraction form
    82,071.66/176,403.84 = 176,403.84/x
  3. Step 3: Cross multiply
    82,071.66x = 176,403.84 × 176,403.84
  4. Step 4: Simplify right side
    82,071.66x = 31,118,316,089.77
  5. Step 5: Solve for x
    x = 31,118,316,089.77/82,071.66
  6. Step 6: Final answer
    x = 379,160.33

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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.