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Finding the Third Proportional to 108,497 and 164,275.50

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Solution

The third proportional to 108,497 and 164,275.50 is: 248,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,497 : 164,275.50 = 164,275.50 : x
  2. Step 2: Convert to fraction form
    108,497/164,275.50 = 164,275.50/x
  3. Step 3: Cross multiply
    108,497x = 164,275.50 × 164,275.50
  4. Step 4: Simplify right side
    108,497x = 26,986,439,900.25
  5. Step 5: Solve for x
    x = 26,986,439,900.25/108,497
  6. Step 6: Final answer
    x = 248,729.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.