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Finding the Third Proportional to 91,971.70 and 138,050.58

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Solution

The third proportional to 91,971.70 and 138,050.58 is: 207,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,971.70 : 138,050.58 = 138,050.58 : x
  2. Step 2: Convert to fraction form
    91,971.70/138,050.58 = 138,050.58/x
  3. Step 3: Cross multiply
    91,971.70x = 138,050.58 × 138,050.58
  4. Step 4: Simplify right side
    91,971.70x = 19,057,962,120.65
  5. Step 5: Solve for x
    x = 19,057,962,120.65/91,971.70
  6. Step 6: Final answer
    x = 207,215.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.