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Finding the Third Proportional to 67,135.13 and 146,128.13

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Solution

The third proportional to 67,135.13 and 146,128.13 is: 318,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,135.13 : 146,128.13 = 146,128.13 : x
  2. Step 2: Convert to fraction form
    67,135.13/146,128.13 = 146,128.13/x
  3. Step 3: Cross multiply
    67,135.13x = 146,128.13 × 146,128.13
  4. Step 4: Simplify right side
    67,135.13x = 21,353,428,916.02
  5. Step 5: Solve for x
    x = 21,353,428,916.02/67,135.13
  6. Step 6: Final answer
    x = 318,066.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.