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Finding the Third Proportional to 42,156 and 90,291

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Solution

The third proportional to 42,156 and 90,291 is: 193,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,156 : 90,291 = 90,291 : x
  2. Step 2: Convert to fraction form
    42,156/90,291 = 90,291/x
  3. Step 3: Cross multiply
    42,156x = 90,291 × 90,291
  4. Step 4: Simplify right side
    42,156x = 8,152,464,681
  5. Step 5: Solve for x
    x = 8,152,464,681/42,156
  6. Step 6: Final answer
    x = 193,388.00

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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.