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Finding the Third Proportional to 42,300 and 90,456

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Solution

The third proportional to 42,300 and 90,456 is: 193,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,300 : 90,456 = 90,456 : x
  2. Step 2: Convert to fraction form
    42,300/90,456 = 90,456/x
  3. Step 3: Cross multiply
    42,300x = 90,456 × 90,456
  4. Step 4: Simplify right side
    42,300x = 8,182,287,936
  5. Step 5: Solve for x
    x = 8,182,287,936/42,300
  6. Step 6: Final answer
    x = 193,434.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.