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Finding the Third Proportional to 61,920 and 102,444.75

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Solution

The third proportional to 61,920 and 102,444.75 is: 169,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,920 : 102,444.75 = 102,444.75 : x
  2. Step 2: Convert to fraction form
    61,920/102,444.75 = 102,444.75/x
  3. Step 3: Cross multiply
    61,920x = 102,444.75 × 102,444.75
  4. Step 4: Simplify right side
    61,920x = 10,494,926,802.56
  5. Step 5: Solve for x
    x = 10,494,926,802.56/61,920
  6. Step 6: Final answer
    x = 169,491.71

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.