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Finding the Third Proportional to 113,647.50 and 168,273

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Solution

The third proportional to 113,647.50 and 168,273 is: 249,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,647.50 : 168,273 = 168,273 : x
  2. Step 2: Convert to fraction form
    113,647.50/168,273 = 168,273/x
  3. Step 3: Cross multiply
    113,647.50x = 168,273 × 168,273
  4. Step 4: Simplify right side
    113,647.50x = 28,315,802,529
  5. Step 5: Solve for x
    x = 28,315,802,529/113,647.50
  6. Step 6: Final answer
    x = 249,154.65

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.