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Finding the Third Proportional to 53,000 and 115,964

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Solution

The third proportional to 53,000 and 115,964 is: 253,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,000 : 115,964 = 115,964 : x
  2. Step 2: Convert to fraction form
    53,000/115,964 = 115,964/x
  3. Step 3: Cross multiply
    53,000x = 115,964 × 115,964
  4. Step 4: Simplify right side
    53,000x = 13,447,649,296
  5. Step 5: Solve for x
    x = 13,447,649,296/53,000
  6. Step 6: Final answer
    x = 253,729.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.