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Finding the Third Proportional to 93,501 and 121,812

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Solution

The third proportional to 93,501 and 121,812 is: 158,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,501 : 121,812 = 121,812 : x
  2. Step 2: Convert to fraction form
    93,501/121,812 = 121,812/x
  3. Step 3: Cross multiply
    93,501x = 121,812 × 121,812
  4. Step 4: Simplify right side
    93,501x = 14,838,163,344
  5. Step 5: Solve for x
    x = 14,838,163,344/93,501
  6. Step 6: Final answer
    x = 158,695.24

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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.