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Finding the Third Proportional to 86,526 and 126,504

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Solution

The third proportional to 86,526 and 126,504 is: 184,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,526 : 126,504 = 126,504 : x
  2. Step 2: Convert to fraction form
    86,526/126,504 = 126,504/x
  3. Step 3: Cross multiply
    86,526x = 126,504 × 126,504
  4. Step 4: Simplify right side
    86,526x = 16,003,262,016
  5. Step 5: Solve for x
    x = 16,003,262,016/86,526
  6. Step 6: Final answer
    x = 184,953.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.