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Finding the Third Proportional to 42,334 and 90,498.50

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Solution

The third proportional to 42,334 and 90,498.50 is: 193,461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,334 : 90,498.50 = 90,498.50 : x
  2. Step 2: Convert to fraction form
    42,334/90,498.50 = 90,498.50/x
  3. Step 3: Cross multiply
    42,334x = 90,498.50 × 90,498.50
  4. Step 4: Simplify right side
    42,334x = 8,189,978,502.25
  5. Step 5: Solve for x
    x = 8,189,978,502.25/42,334
  6. Step 6: Final answer
    x = 193,461.01

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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.