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Finding the Third Proportional to 61,064 and 91,740

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Solution

The third proportional to 61,064 and 91,740 is: 137,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,064 : 91,740 = 91,740 : x
  2. Step 2: Convert to fraction form
    61,064/91,740 = 91,740/x
  3. Step 3: Cross multiply
    61,064x = 91,740 × 91,740
  4. Step 4: Simplify right side
    61,064x = 8,416,227,600
  5. Step 5: Solve for x
    x = 8,416,227,600/61,064
  6. Step 6: Final answer
    x = 137,826.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.