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Finding the Third Proportional to 109,371 and 168,715.50

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Solution

The third proportional to 109,371 and 168,715.50 is: 260,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,371 : 168,715.50 = 168,715.50 : x
  2. Step 2: Convert to fraction form
    109,371/168,715.50 = 168,715.50/x
  3. Step 3: Cross multiply
    109,371x = 168,715.50 × 168,715.50
  4. Step 4: Simplify right side
    109,371x = 28,464,919,940.25
  5. Step 5: Solve for x
    x = 28,464,919,940.25/109,371
  6. Step 6: Final answer
    x = 260,260.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.