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Finding the Third Proportional to 31,130.25 and 68,802.75

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Solution

The third proportional to 31,130.25 and 68,802.75 is: 152,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.25 : 68,802.75 = 68,802.75 : x
  2. Step 2: Convert to fraction form
    31,130.25/68,802.75 = 68,802.75/x
  3. Step 3: Cross multiply
    31,130.25x = 68,802.75 × 68,802.75
  4. Step 4: Simplify right side
    31,130.25x = 4,733,818,407.56
  5. Step 5: Solve for x
    x = 4,733,818,407.56/31,130.25
  6. Step 6: Final answer
    x = 152,064.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.