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Finding the Third Proportional to 93,197.25 and 144,574.88

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Solution

The third proportional to 93,197.25 and 144,574.88 is: 224,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,197.25 : 144,574.88 = 144,574.88 : x
  2. Step 2: Convert to fraction form
    93,197.25/144,574.88 = 144,574.88/x
  3. Step 3: Cross multiply
    93,197.25x = 144,574.88 × 144,574.88
  4. Step 4: Simplify right side
    93,197.25x = 20,901,894,481.27
  5. Step 5: Solve for x
    x = 20,901,894,481.27/93,197.25
  6. Step 6: Final answer
    x = 224,275.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.