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Finding the Third Proportional to 49,604 and 74,854

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Solution

The third proportional to 49,604 and 74,854 is: 112,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,604 : 74,854 = 74,854 : x
  2. Step 2: Convert to fraction form
    49,604/74,854 = 74,854/x
  3. Step 3: Cross multiply
    49,604x = 74,854 × 74,854
  4. Step 4: Simplify right side
    49,604x = 5,603,121,316
  5. Step 5: Solve for x
    x = 5,603,121,316/49,604
  6. Step 6: Final answer
    x = 112,957.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.