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Finding the Third Proportional to 144,119.25 and 212,452.88

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Solution

The third proportional to 144,119.25 and 212,452.88 is: 313,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,119.25 : 212,452.88 = 212,452.88 : x
  2. Step 2: Convert to fraction form
    144,119.25/212,452.88 = 212,452.88/x
  3. Step 3: Cross multiply
    144,119.25x = 212,452.88 × 212,452.88
  4. Step 4: Simplify right side
    144,119.25x = 45,136,224,095.77
  5. Step 5: Solve for x
    x = 45,136,224,095.77/144,119.25
  6. Step 6: Final answer
    x = 313,186.64

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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.