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Finding the Third Proportional to 59,964 and 91,242

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Solution

The third proportional to 59,964 and 91,242 is: 138,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,964 : 91,242 = 91,242 : x
  2. Step 2: Convert to fraction form
    59,964/91,242 = 91,242/x
  3. Step 3: Cross multiply
    59,964x = 91,242 × 91,242
  4. Step 4: Simplify right side
    59,964x = 8,325,102,564
  5. Step 5: Solve for x
    x = 8,325,102,564/59,964
  6. Step 6: Final answer
    x = 138,835.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.