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Finding the Third Proportional to 109,314 and 143,532

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Solution

The third proportional to 109,314 and 143,532 is: 188,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,314 : 143,532 = 143,532 : x
  2. Step 2: Convert to fraction form
    109,314/143,532 = 143,532/x
  3. Step 3: Cross multiply
    109,314x = 143,532 × 143,532
  4. Step 4: Simplify right side
    109,314x = 20,601,435,024
  5. Step 5: Solve for x
    x = 20,601,435,024/109,314
  6. Step 6: Final answer
    x = 188,461.08

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.