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Finding the Third Proportional to 71,349 and 168,733.50

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Solution

The third proportional to 71,349 and 168,733.50 is: 399,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,349 : 168,733.50 = 168,733.50 : x
  2. Step 2: Convert to fraction form
    71,349/168,733.50 = 168,733.50/x
  3. Step 3: Cross multiply
    71,349x = 168,733.50 × 168,733.50
  4. Step 4: Simplify right side
    71,349x = 28,470,994,022.25
  5. Step 5: Solve for x
    x = 28,470,994,022.25/71,349
  6. Step 6: Final answer
    x = 399,038.45

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.