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Finding the Third Proportional to 65,225.25 and 142,236

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Solution

The third proportional to 65,225.25 and 142,236 is: 310,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,225.25 : 142,236 = 142,236 : x
  2. Step 2: Convert to fraction form
    65,225.25/142,236 = 142,236/x
  3. Step 3: Cross multiply
    65,225.25x = 142,236 × 142,236
  4. Step 4: Simplify right side
    65,225.25x = 20,231,079,696
  5. Step 5: Solve for x
    x = 20,231,079,696/65,225.25
  6. Step 6: Final answer
    x = 310,172.51

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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.