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Finding the Third Proportional to 115,080 and 152,964

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Solution

The third proportional to 115,080 and 152,964 is: 203,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,080 : 152,964 = 152,964 : x
  2. Step 2: Convert to fraction form
    115,080/152,964 = 152,964/x
  3. Step 3: Cross multiply
    115,080x = 152,964 × 152,964
  4. Step 4: Simplify right side
    115,080x = 23,397,985,296
  5. Step 5: Solve for x
    x = 23,397,985,296/115,080
  6. Step 6: Final answer
    x = 203,319.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.