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Finding the Third Proportional to 90,926 and 122,310

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Solution

The third proportional to 90,926 and 122,310 is: 164,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,926 : 122,310 = 122,310 : x
  2. Step 2: Convert to fraction form
    90,926/122,310 = 122,310/x
  3. Step 3: Cross multiply
    90,926x = 122,310 × 122,310
  4. Step 4: Simplify right side
    90,926x = 14,959,736,100
  5. Step 5: Solve for x
    x = 14,959,736,100/90,926
  6. Step 6: Final answer
    x = 164,526.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.