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Finding the Third Proportional to 63,210 and 92,215

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Solution

The third proportional to 63,210 and 92,215 is: 134,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,210 : 92,215 = 92,215 : x
  2. Step 2: Convert to fraction form
    63,210/92,215 = 92,215/x
  3. Step 3: Cross multiply
    63,210x = 92,215 × 92,215
  4. Step 4: Simplify right side
    63,210x = 8,503,606,225
  5. Step 5: Solve for x
    x = 8,503,606,225/63,210
  6. Step 6: Final answer
    x = 134,529.45

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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.