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Finding the Third Proportional to 42,324 and 90,480

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Solution

The third proportional to 42,324 and 90,480 is: 193,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,324 : 90,480 = 90,480 : x
  2. Step 2: Convert to fraction form
    42,324/90,480 = 90,480/x
  3. Step 3: Cross multiply
    42,324x = 90,480 × 90,480
  4. Step 4: Simplify right side
    42,324x = 8,186,630,400
  5. Step 5: Solve for x
    x = 8,186,630,400/42,324
  6. Step 6: Final answer
    x = 193,427.62

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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.