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Finding the Third Proportional to 105,077.25 and 157,244.63

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Solution

The third proportional to 105,077.25 and 157,244.63 is: 235,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,077.25 : 157,244.63 = 157,244.63 : x
  2. Step 2: Convert to fraction form
    105,077.25/157,244.63 = 157,244.63/x
  3. Step 3: Cross multiply
    105,077.25x = 157,244.63 × 157,244.63
  4. Step 4: Simplify right side
    105,077.25x = 24,725,872,091.39
  5. Step 5: Solve for x
    x = 24,725,872,091.39/105,077.25
  6. Step 6: Final answer
    x = 235,311.37

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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.