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Finding the Third Proportional to 31,574 and 68,070

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Solution

The third proportional to 31,574 and 68,070 is: 146,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574 : 68,070 = 68,070 : x
  2. Step 2: Convert to fraction form
    31,574/68,070 = 68,070/x
  3. Step 3: Cross multiply
    31,574x = 68,070 × 68,070
  4. Step 4: Simplify right side
    31,574x = 4,633,524,900
  5. Step 5: Solve for x
    x = 4,633,524,900/31,574
  6. Step 6: Final answer
    x = 146,751.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.