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Finding the Third Proportional to 46,191 and 74,391

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Solution

The third proportional to 46,191 and 74,391 is: 119,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,191 : 74,391 = 74,391 : x
  2. Step 2: Convert to fraction form
    46,191/74,391 = 74,391/x
  3. Step 3: Cross multiply
    46,191x = 74,391 × 74,391
  4. Step 4: Simplify right side
    46,191x = 5,534,020,881
  5. Step 5: Solve for x
    x = 5,534,020,881/46,191
  6. Step 6: Final answer
    x = 119,807.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.