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Finding the Third Proportional to 93,535.88 and 142,639.03

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Solution

The third proportional to 93,535.88 and 142,639.03 is: 217,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,535.88 : 142,639.03 = 142,639.03 : x
  2. Step 2: Convert to fraction form
    93,535.88/142,639.03 = 142,639.03/x
  3. Step 3: Cross multiply
    93,535.88x = 142,639.03 × 142,639.03
  4. Step 4: Simplify right side
    93,535.88x = 20,345,893,235.94
  5. Step 5: Solve for x
    x = 20,345,893,235.94/93,535.88
  6. Step 6: Final answer
    x = 217,519.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.