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Finding the Third Proportional to 43,254 and 63,207

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Solution

The third proportional to 43,254 and 63,207 is: 92,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,254 : 63,207 = 63,207 : x
  2. Step 2: Convert to fraction form
    43,254/63,207 = 63,207/x
  3. Step 3: Cross multiply
    43,254x = 63,207 × 63,207
  4. Step 4: Simplify right side
    43,254x = 3,995,124,849
  5. Step 5: Solve for x
    x = 3,995,124,849/43,254
  6. Step 6: Final answer
    x = 92,364.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.