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Finding the Third Proportional to 93,916 and 121,920

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Solution

The third proportional to 93,916 and 121,920 is: 158,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,916 : 121,920 = 121,920 : x
  2. Step 2: Convert to fraction form
    93,916/121,920 = 121,920/x
  3. Step 3: Cross multiply
    93,916x = 121,920 × 121,920
  4. Step 4: Simplify right side
    93,916x = 14,864,486,400
  5. Step 5: Solve for x
    x = 14,864,486,400/93,916
  6. Step 6: Final answer
    x = 158,274.27

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.