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Finding the Third Proportional to 73,840.50 and 152,037

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Solution

The third proportional to 73,840.50 and 152,037 is: 313,042.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,840.50 : 152,037 = 152,037 : x
  2. Step 2: Convert to fraction form
    73,840.50/152,037 = 152,037/x
  3. Step 3: Cross multiply
    73,840.50x = 152,037 × 152,037
  4. Step 4: Simplify right side
    73,840.50x = 23,115,249,369
  5. Step 5: Solve for x
    x = 23,115,249,369/73,840.50
  6. Step 6: Final answer
    x = 313,042.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.