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Finding the Third Proportional to 105,052 and 157,652

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Solution

The third proportional to 105,052 and 157,652 is: 236,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,052 : 157,652 = 157,652 : x
  2. Step 2: Convert to fraction form
    105,052/157,652 = 157,652/x
  3. Step 3: Cross multiply
    105,052x = 157,652 × 157,652
  4. Step 4: Simplify right side
    105,052x = 24,854,153,104
  5. Step 5: Solve for x
    x = 24,854,153,104/105,052
  6. Step 6: Final answer
    x = 236,589.05

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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.