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Finding the Third Proportional to 141,525 and 214,113

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Solution

The third proportional to 141,525 and 214,113 is: 323,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,525 : 214,113 = 214,113 : x
  2. Step 2: Convert to fraction form
    141,525/214,113 = 214,113/x
  3. Step 3: Cross multiply
    141,525x = 214,113 × 214,113
  4. Step 4: Simplify right side
    141,525x = 45,844,376,769
  5. Step 5: Solve for x
    x = 45,844,376,769/141,525
  6. Step 6: Final answer
    x = 323,931.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.