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Finding the Third Proportional to 45,767 and 106,925

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Solution

The third proportional to 45,767 and 106,925 is: 249,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,767 : 106,925 = 106,925 : x
  2. Step 2: Convert to fraction form
    45,767/106,925 = 106,925/x
  3. Step 3: Cross multiply
    45,767x = 106,925 × 106,925
  4. Step 4: Simplify right side
    45,767x = 11,432,955,625
  5. Step 5: Solve for x
    x = 11,432,955,625/45,767
  6. Step 6: Final answer
    x = 249,807.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.