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Finding the Third Proportional to 46,669 and 74,863

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Solution

The third proportional to 46,669 and 74,863 is: 120,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,669 : 74,863 = 74,863 : x
  2. Step 2: Convert to fraction form
    46,669/74,863 = 74,863/x
  3. Step 3: Cross multiply
    46,669x = 74,863 × 74,863
  4. Step 4: Simplify right side
    46,669x = 5,604,468,769
  5. Step 5: Solve for x
    x = 5,604,468,769/46,669
  6. Step 6: Final answer
    x = 120,089.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.