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Finding the Third Proportional to 42,128 and 63,300

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Solution

The third proportional to 42,128 and 63,300 is: 95,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,128 : 63,300 = 63,300 : x
  2. Step 2: Convert to fraction form
    42,128/63,300 = 63,300/x
  3. Step 3: Cross multiply
    42,128x = 63,300 × 63,300
  4. Step 4: Simplify right side
    42,128x = 4,006,890,000
  5. Step 5: Solve for x
    x = 4,006,890,000/42,128
  6. Step 6: Final answer
    x = 95,112.28

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