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Finding the Third Proportional to 65,503.50 and 140,345

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Solution

The third proportional to 65,503.50 and 140,345 is: 300,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,503.50 : 140,345 = 140,345 : x
  2. Step 2: Convert to fraction form
    65,503.50/140,345 = 140,345/x
  3. Step 3: Cross multiply
    65,503.50x = 140,345 × 140,345
  4. Step 4: Simplify right side
    65,503.50x = 19,696,719,025
  5. Step 5: Solve for x
    x = 19,696,719,025/65,503.50
  6. Step 6: Final answer
    x = 300,697.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.