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Finding the Third Proportional to 93,541.50 and 121,995

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Solution

The third proportional to 93,541.50 and 121,995 is: 159,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,541.50 : 121,995 = 121,995 : x
  2. Step 2: Convert to fraction form
    93,541.50/121,995 = 121,995/x
  3. Step 3: Cross multiply
    93,541.50x = 121,995 × 121,995
  4. Step 4: Simplify right side
    93,541.50x = 14,882,780,025
  5. Step 5: Solve for x
    x = 14,882,780,025/93,541.50
  6. Step 6: Final answer
    x = 159,103.50

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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.