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Finding the Third Proportional to 44,040 and 98,169

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Solution

The third proportional to 44,040 and 98,169 is: 218,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,040 : 98,169 = 98,169 : x
  2. Step 2: Convert to fraction form
    44,040/98,169 = 98,169/x
  3. Step 3: Cross multiply
    44,040x = 98,169 × 98,169
  4. Step 4: Simplify right side
    44,040x = 9,637,152,561
  5. Step 5: Solve for x
    x = 9,637,152,561/44,040
  6. Step 6: Final answer
    x = 218,827.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.