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Finding the Third Proportional to 93,948 and 197,128

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Solution

The third proportional to 93,948 and 197,128 is: 413,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,948 : 197,128 = 197,128 : x
  2. Step 2: Convert to fraction form
    93,948/197,128 = 197,128/x
  3. Step 3: Cross multiply
    93,948x = 197,128 × 197,128
  4. Step 4: Simplify right side
    93,948x = 38,859,448,384
  5. Step 5: Solve for x
    x = 38,859,448,384/93,948
  6. Step 6: Final answer
    x = 413,627.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.