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Finding the Third Proportional to 84,713.91 and 178,164.14

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Solution

The third proportional to 84,713.91 and 178,164.14 is: 374,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,713.91 : 178,164.14 = 178,164.14 : x
  2. Step 2: Convert to fraction form
    84,713.91/178,164.14 = 178,164.14/x
  3. Step 3: Cross multiply
    84,713.91x = 178,164.14 × 178,164.14
  4. Step 4: Simplify right side
    84,713.91x = 31,742,461,004.64
  5. Step 5: Solve for x
    x = 31,742,461,004.64/84,713.91
  6. Step 6: Final answer
    x = 374,701.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.