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Finding the Third Proportional to 93,909.38 and 140,837.06

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Solution

The third proportional to 93,909.38 and 140,837.06 is: 211,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,909.38 : 140,837.06 = 140,837.06 : x
  2. Step 2: Convert to fraction form
    93,909.38/140,837.06 = 140,837.06/x
  3. Step 3: Cross multiply
    93,909.38x = 140,837.06 × 140,837.06
  4. Step 4: Simplify right side
    93,909.38x = 19,835,078,173.63
  5. Step 5: Solve for x
    x = 19,835,078,173.63/93,909.38
  6. Step 6: Final answer
    x = 211,215.10

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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.