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Finding the Third Proportional to 46,854 and 74,938

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Solution

The third proportional to 46,854 and 74,938 is: 119,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,854 : 74,938 = 74,938 : x
  2. Step 2: Convert to fraction form
    46,854/74,938 = 74,938/x
  3. Step 3: Cross multiply
    46,854x = 74,938 × 74,938
  4. Step 4: Simplify right side
    46,854x = 5,615,703,844
  5. Step 5: Solve for x
    x = 5,615,703,844/46,854
  6. Step 6: Final answer
    x = 119,855.38

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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.