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Finding the Third Proportional to 61,371 and 108,492.75

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Solution

The third proportional to 61,371 and 108,492.75 is: 191,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,371 : 108,492.75 = 108,492.75 : x
  2. Step 2: Convert to fraction form
    61,371/108,492.75 = 108,492.75/x
  3. Step 3: Cross multiply
    61,371x = 108,492.75 × 108,492.75
  4. Step 4: Simplify right side
    61,371x = 11,770,676,802.56
  5. Step 5: Solve for x
    x = 11,770,676,802.56/61,371
  6. Step 6: Final answer
    x = 191,795.42

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.