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Finding the Third Proportional to 61,202 and 90,669

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Solution

The third proportional to 61,202 and 90,669 is: 134,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,202 : 90,669 = 90,669 : x
  2. Step 2: Convert to fraction form
    61,202/90,669 = 90,669/x
  3. Step 3: Cross multiply
    61,202x = 90,669 × 90,669
  4. Step 4: Simplify right side
    61,202x = 8,220,867,561
  5. Step 5: Solve for x
    x = 8,220,867,561/61,202
  6. Step 6: Final answer
    x = 134,323.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.