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Finding the Third Proportional to 130,975 and 214,095

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Solution

The third proportional to 130,975 and 214,095 is: 349,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,975 : 214,095 = 214,095 : x
  2. Step 2: Convert to fraction form
    130,975/214,095 = 214,095/x
  3. Step 3: Cross multiply
    130,975x = 214,095 × 214,095
  4. Step 4: Simplify right side
    130,975x = 45,836,669,025
  5. Step 5: Solve for x
    x = 45,836,669,025/130,975
  6. Step 6: Final answer
    x = 349,965.02

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.