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Finding the Third Proportional to 42,300 and 92,988

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Solution

The third proportional to 42,300 and 92,988 is: 204,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,300 : 92,988 = 92,988 : x
  2. Step 2: Convert to fraction form
    42,300/92,988 = 92,988/x
  3. Step 3: Cross multiply
    42,300x = 92,988 × 92,988
  4. Step 4: Simplify right side
    42,300x = 8,646,768,144
  5. Step 5: Solve for x
    x = 8,646,768,144/42,300
  6. Step 6: Final answer
    x = 204,415.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.