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Finding the Third Proportional to 73,239.19 and 152,308.69

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Solution

The third proportional to 73,239.19 and 152,308.69 is: 316,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,239.19 : 152,308.69 = 152,308.69 : x
  2. Step 2: Convert to fraction form
    73,239.19/152,308.69 = 152,308.69/x
  3. Step 3: Cross multiply
    73,239.19x = 152,308.69 × 152,308.69
  4. Step 4: Simplify right side
    73,239.19x = 23,197,936,287.97
  5. Step 5: Solve for x
    x = 23,197,936,287.97/73,239.19
  6. Step 6: Final answer
    x = 316,742.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.