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Finding the Third Proportional to 105,062.63 and 157,222.13

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Solution

The third proportional to 105,062.63 and 157,222.13 is: 235,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,062.63 : 157,222.13 = 157,222.13 : x
  2. Step 2: Convert to fraction form
    105,062.63/157,222.13 = 157,222.13/x
  3. Step 3: Cross multiply
    105,062.63x = 157,222.13 × 157,222.13
  4. Step 4: Simplify right side
    105,062.63x = 24,718,796,589.52
  5. Step 5: Solve for x
    x = 24,718,796,589.52/105,062.63
  6. Step 6: Final answer
    x = 235,276.78

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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.