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Finding the Third Proportional to 46,092 and 98,712

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Solution

The third proportional to 46,092 and 98,712 is: 211,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,092 : 98,712 = 98,712 : x
  2. Step 2: Convert to fraction form
    46,092/98,712 = 98,712/x
  3. Step 3: Cross multiply
    46,092x = 98,712 × 98,712
  4. Step 4: Simplify right side
    46,092x = 9,744,058,944
  5. Step 5: Solve for x
    x = 9,744,058,944/46,092
  6. Step 6: Final answer
    x = 211,404.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.