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Finding the Third Proportional to 133,135.50 and 292,059

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Solution

The third proportional to 133,135.50 and 292,059 is: 640,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,135.50 : 292,059 = 292,059 : x
  2. Step 2: Convert to fraction form
    133,135.50/292,059 = 292,059/x
  3. Step 3: Cross multiply
    133,135.50x = 292,059 × 292,059
  4. Step 4: Simplify right side
    133,135.50x = 85,298,459,481
  5. Step 5: Solve for x
    x = 85,298,459,481/133,135.50
  6. Step 6: Final answer
    x = 640,689.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.