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Finding the Third Proportional to 103,851 and 148,508

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Solution

The third proportional to 103,851 and 148,508 is: 212,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,851 : 148,508 = 148,508 : x
  2. Step 2: Convert to fraction form
    103,851/148,508 = 148,508/x
  3. Step 3: Cross multiply
    103,851x = 148,508 × 148,508
  4. Step 4: Simplify right side
    103,851x = 22,054,626,064
  5. Step 5: Solve for x
    x = 22,054,626,064/103,851
  6. Step 6: Final answer
    x = 212,367.97

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.