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Finding the Third Proportional to 31,306 and 64,798

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Solution

The third proportional to 31,306 and 64,798 is: 134,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,306 : 64,798 = 64,798 : x
  2. Step 2: Convert to fraction form
    31,306/64,798 = 64,798/x
  3. Step 3: Cross multiply
    31,306x = 64,798 × 64,798
  4. Step 4: Simplify right side
    31,306x = 4,198,780,804
  5. Step 5: Solve for x
    x = 4,198,780,804/31,306
  6. Step 6: Final answer
    x = 134,120.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.