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Finding the Third Proportional to 55,670 and 98,114

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Solution

The third proportional to 55,670 and 98,114 is: 172,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,670 : 98,114 = 98,114 : x
  2. Step 2: Convert to fraction form
    55,670/98,114 = 98,114/x
  3. Step 3: Cross multiply
    55,670x = 98,114 × 98,114
  4. Step 4: Simplify right side
    55,670x = 9,626,356,996
  5. Step 5: Solve for x
    x = 9,626,356,996/55,670
  6. Step 6: Final answer
    x = 172,918.21

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.