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Finding the Third Proportional to 49,522 and 74,519.50

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Solution

The third proportional to 49,522 and 74,519.50 is: 112,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,522 : 74,519.50 = 74,519.50 : x
  2. Step 2: Convert to fraction form
    49,522/74,519.50 = 74,519.50/x
  3. Step 3: Cross multiply
    49,522x = 74,519.50 × 74,519.50
  4. Step 4: Simplify right side
    49,522x = 5,553,155,880.25
  5. Step 5: Solve for x
    x = 5,553,155,880.25/49,522
  6. Step 6: Final answer
    x = 112,135.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.