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Finding the Third Proportional to 61,262 and 89,462

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Solution

The third proportional to 61,262 and 89,462 is: 130,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,262 : 89,462 = 89,462 : x
  2. Step 2: Convert to fraction form
    61,262/89,462 = 89,462/x
  3. Step 3: Cross multiply
    61,262x = 89,462 × 89,462
  4. Step 4: Simplify right side
    61,262x = 8,003,449,444
  5. Step 5: Solve for x
    x = 8,003,449,444/61,262
  6. Step 6: Final answer
    x = 130,642.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.