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Finding the Third Proportional to 42,202 and 63,228

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Solution

The third proportional to 42,202 and 63,228 is: 94,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,202 : 63,228 = 63,228 : x
  2. Step 2: Convert to fraction form
    42,202/63,228 = 63,228/x
  3. Step 3: Cross multiply
    42,202x = 63,228 × 63,228
  4. Step 4: Simplify right side
    42,202x = 3,997,779,984
  5. Step 5: Solve for x
    x = 3,997,779,984/42,202
  6. Step 6: Final answer
    x = 94,729.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.