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Finding the Third Proportional to 63,202 and 94,246

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Solution

The third proportional to 63,202 and 94,246 is: 140,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,202 : 94,246 = 94,246 : x
  2. Step 2: Convert to fraction form
    63,202/94,246 = 94,246/x
  3. Step 3: Cross multiply
    63,202x = 94,246 × 94,246
  4. Step 4: Simplify right side
    63,202x = 8,882,308,516
  5. Step 5: Solve for x
    x = 8,882,308,516/63,202
  6. Step 6: Final answer
    x = 140,538.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.