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Finding the Third Proportional to 50,432 and 109,312

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Solution

The third proportional to 50,432 and 109,312 is: 236,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,432 : 109,312 = 109,312 : x
  2. Step 2: Convert to fraction form
    50,432/109,312 = 109,312/x
  3. Step 3: Cross multiply
    50,432x = 109,312 × 109,312
  4. Step 4: Simplify right side
    50,432x = 11,949,113,344
  5. Step 5: Solve for x
    x = 11,949,113,344/50,432
  6. Step 6: Final answer
    x = 236,935.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.