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Finding the Third Proportional to 44,848 and 97,556

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Solution

The third proportional to 44,848 and 97,556 is: 212,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,848 : 97,556 = 97,556 : x
  2. Step 2: Convert to fraction form
    44,848/97,556 = 97,556/x
  3. Step 3: Cross multiply
    44,848x = 97,556 × 97,556
  4. Step 4: Simplify right side
    44,848x = 9,517,173,136
  5. Step 5: Solve for x
    x = 9,517,173,136/44,848
  6. Step 6: Final answer
    x = 212,209.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.