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Finding the Third Proportional to 46,820 and 86,998

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Solution

The third proportional to 46,820 and 86,998 is: 161,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,820 : 86,998 = 86,998 : x
  2. Step 2: Convert to fraction form
    46,820/86,998 = 86,998/x
  3. Step 3: Cross multiply
    46,820x = 86,998 × 86,998
  4. Step 4: Simplify right side
    46,820x = 7,568,652,004
  5. Step 5: Solve for x
    x = 7,568,652,004/46,820
  6. Step 6: Final answer
    x = 161,654.25

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.