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Finding the Third Proportional to 93,420.75 and 146,827.13

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Solution

The third proportional to 93,420.75 and 146,827.13 is: 230,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,420.75 : 146,827.13 = 146,827.13 : x
  2. Step 2: Convert to fraction form
    93,420.75/146,827.13 = 146,827.13/x
  3. Step 3: Cross multiply
    93,420.75x = 146,827.13 × 146,827.13
  4. Step 4: Simplify right side
    93,420.75x = 21,558,204,635.77
  5. Step 5: Solve for x
    x = 21,558,204,635.77/93,420.75
  6. Step 6: Final answer
    x = 230,764.63

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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.