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Finding the Third Proportional to 113,644.50 and 173,926.50

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Solution

The third proportional to 113,644.50 and 173,926.50 is: 266,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,644.50 : 173,926.50 = 173,926.50 : x
  2. Step 2: Convert to fraction form
    113,644.50/173,926.50 = 173,926.50/x
  3. Step 3: Cross multiply
    113,644.50x = 173,926.50 × 173,926.50
  4. Step 4: Simplify right side
    113,644.50x = 30,250,427,402.25
  5. Step 5: Solve for x
    x = 30,250,427,402.25/113,644.50
  6. Step 6: Final answer
    x = 266,184.70

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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.