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Finding the Third Proportional to 93,945 and 145,691.50

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Solution

The third proportional to 93,945 and 145,691.50 is: 225,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,945 : 145,691.50 = 145,691.50 : x
  2. Step 2: Convert to fraction form
    93,945/145,691.50 = 145,691.50/x
  3. Step 3: Cross multiply
    93,945x = 145,691.50 × 145,691.50
  4. Step 4: Simplify right side
    93,945x = 21,226,013,172.25
  5. Step 5: Solve for x
    x = 21,226,013,172.25/93,945
  6. Step 6: Final answer
    x = 225,940.85

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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.