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Finding the Third Proportional to 113,673.50 and 169,808.25

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Solution

The third proportional to 113,673.50 and 169,808.25 is: 253,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,673.50 : 169,808.25 = 169,808.25 : x
  2. Step 2: Convert to fraction form
    113,673.50/169,808.25 = 169,808.25/x
  3. Step 3: Cross multiply
    113,673.50x = 169,808.25 × 169,808.25
  4. Step 4: Simplify right side
    113,673.50x = 28,834,841,768.06
  5. Step 5: Solve for x
    x = 28,834,841,768.06/113,673.50
  6. Step 6: Final answer
    x = 253,663.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.