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Finding the Third Proportional to 103,984 and 148,701

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Solution

The third proportional to 103,984 and 148,701 is: 212,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,984 : 148,701 = 148,701 : x
  2. Step 2: Convert to fraction form
    103,984/148,701 = 148,701/x
  3. Step 3: Cross multiply
    103,984x = 148,701 × 148,701
  4. Step 4: Simplify right side
    103,984x = 22,111,987,401
  5. Step 5: Solve for x
    x = 22,111,987,401/103,984
  6. Step 6: Final answer
    x = 212,647.98

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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.