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Finding the Third Proportional to 93,555 and 146,593.13

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Solution

The third proportional to 93,555 and 146,593.13 is: 229,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,555 : 146,593.13 = 146,593.13 : x
  2. Step 2: Convert to fraction form
    93,555/146,593.13 = 146,593.13/x
  3. Step 3: Cross multiply
    93,555x = 146,593.13 × 146,593.13
  4. Step 4: Simplify right side
    93,555x = 21,489,544,297.27
  5. Step 5: Solve for x
    x = 21,489,544,297.27/93,555
  6. Step 6: Final answer
    x = 229,699.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.