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Finding the Third Proportional to 93,488.31 and 145,033.97

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Solution

The third proportional to 93,488.31 and 145,033.97 is: 224,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,488.31 : 145,033.97 = 145,033.97 : x
  2. Step 2: Convert to fraction form
    93,488.31/145,033.97 = 145,033.97/x
  3. Step 3: Cross multiply
    93,488.31x = 145,033.97 × 145,033.97
  4. Step 4: Simplify right side
    93,488.31x = 21,034,852,091.38
  5. Step 5: Solve for x
    x = 21,034,852,091.38/93,488.31
  6. Step 6: Final answer
    x = 224,999.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.