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Finding the Third Proportional to 144,078.75 and 212,392.13

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Solution

The third proportional to 144,078.75 and 212,392.13 is: 313,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,078.75 : 212,392.13 = 212,392.13 : x
  2. Step 2: Convert to fraction form
    144,078.75/212,392.13 = 212,392.13/x
  3. Step 3: Cross multiply
    144,078.75x = 212,392.13 × 212,392.13
  4. Step 4: Simplify right side
    144,078.75x = 45,110,414,762.02
  5. Step 5: Solve for x
    x = 45,110,414,762.02/144,078.75
  6. Step 6: Final answer
    x = 313,095.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.