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Finding the Third Proportional to 127,867.50 and 191,803.50

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Solution

The third proportional to 127,867.50 and 191,803.50 is: 287,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,867.50 : 191,803.50 = 191,803.50 : x
  2. Step 2: Convert to fraction form
    127,867.50/191,803.50 = 191,803.50/x
  3. Step 3: Cross multiply
    127,867.50x = 191,803.50 × 191,803.50
  4. Step 4: Simplify right side
    127,867.50x = 36,788,582,612.25
  5. Step 5: Solve for x
    x = 36,788,582,612.25/127,867.50
  6. Step 6: Final answer
    x = 287,708.63

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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.