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Finding the Third Proportional to 93,348 and 139,698

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Solution

The third proportional to 93,348 and 139,698 is: 209,062.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,348 : 139,698 = 139,698 : x
  2. Step 2: Convert to fraction form
    93,348/139,698 = 139,698/x
  3. Step 3: Cross multiply
    93,348x = 139,698 × 139,698
  4. Step 4: Simplify right side
    93,348x = 19,515,531,204
  5. Step 5: Solve for x
    x = 19,515,531,204/93,348
  6. Step 6: Final answer
    x = 209,062.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.