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Finding the Third Proportional to 70,066 and 153,758

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Solution

The third proportional to 70,066 and 153,758 is: 337,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,066 : 153,758 = 153,758 : x
  2. Step 2: Convert to fraction form
    70,066/153,758 = 153,758/x
  3. Step 3: Cross multiply
    70,066x = 153,758 × 153,758
  4. Step 4: Simplify right side
    70,066x = 23,641,522,564
  5. Step 5: Solve for x
    x = 23,641,522,564/70,066
  6. Step 6: Final answer
    x = 337,417.90

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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.