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Finding the Third Proportional to 77,004 and 115,186.50

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Solution

The third proportional to 77,004 and 115,186.50 is: 172,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,004 : 115,186.50 = 115,186.50 : x
  2. Step 2: Convert to fraction form
    77,004/115,186.50 = 115,186.50/x
  3. Step 3: Cross multiply
    77,004x = 115,186.50 × 115,186.50
  4. Step 4: Simplify right side
    77,004x = 13,267,929,782.25
  5. Step 5: Solve for x
    x = 13,267,929,782.25/77,004
  6. Step 6: Final answer
    x = 172,301.83

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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.