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Finding the Third Proportional to 143,025.75 and 212,095.13

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Solution

The third proportional to 143,025.75 and 212,095.13 is: 314,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,025.75 : 212,095.13 = 212,095.13 : x
  2. Step 2: Convert to fraction form
    143,025.75/212,095.13 = 212,095.13/x
  3. Step 3: Cross multiply
    143,025.75x = 212,095.13 × 212,095.13
  4. Step 4: Simplify right side
    143,025.75x = 44,984,342,048.77
  5. Step 5: Solve for x
    x = 44,984,342,048.77/143,025.75
  6. Step 6: Final answer
    x = 314,519.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.