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Finding the Third Proportional to 107,085 and 156,787

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Solution

The third proportional to 107,085 and 156,787 is: 229,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,085 : 156,787 = 156,787 : x
  2. Step 2: Convert to fraction form
    107,085/156,787 = 156,787/x
  3. Step 3: Cross multiply
    107,085x = 156,787 × 156,787
  4. Step 4: Simplify right side
    107,085x = 24,582,163,369
  5. Step 5: Solve for x
    x = 24,582,163,369/107,085
  6. Step 6: Final answer
    x = 229,557.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.