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Finding the Third Proportional to 93,393 and 133,437

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Solution

The third proportional to 93,393 and 133,437 is: 190,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,393 : 133,437 = 133,437 : x
  2. Step 2: Convert to fraction form
    93,393/133,437 = 133,437/x
  3. Step 3: Cross multiply
    93,393x = 133,437 × 133,437
  4. Step 4: Simplify right side
    93,393x = 17,805,432,969
  5. Step 5: Solve for x
    x = 17,805,432,969/93,393
  6. Step 6: Final answer
    x = 190,650.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.