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Finding the Third Proportional to 71,103 and 155,596.50

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Solution

The third proportional to 71,103 and 155,596.50 is: 340,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,103 : 155,596.50 = 155,596.50 : x
  2. Step 2: Convert to fraction form
    71,103/155,596.50 = 155,596.50/x
  3. Step 3: Cross multiply
    71,103x = 155,596.50 × 155,596.50
  4. Step 4: Simplify right side
    71,103x = 24,210,270,812.25
  5. Step 5: Solve for x
    x = 24,210,270,812.25/71,103
  6. Step 6: Final answer
    x = 340,495.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.