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Finding the Third Proportional to 90,323 and 137,841

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Solution

The third proportional to 90,323 and 137,841 is: 210,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,323 : 137,841 = 137,841 : x
  2. Step 2: Convert to fraction form
    90,323/137,841 = 137,841/x
  3. Step 3: Cross multiply
    90,323x = 137,841 × 137,841
  4. Step 4: Simplify right side
    90,323x = 19,000,141,281
  5. Step 5: Solve for x
    x = 19,000,141,281/90,323
  6. Step 6: Final answer
    x = 210,357.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.