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Finding the Third Proportional to 126,953 and 186,501

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Solution

The third proportional to 126,953 and 186,501 is: 273,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,953 : 186,501 = 186,501 : x
  2. Step 2: Convert to fraction form
    126,953/186,501 = 186,501/x
  3. Step 3: Cross multiply
    126,953x = 186,501 × 186,501
  4. Step 4: Simplify right side
    126,953x = 34,782,623,001
  5. Step 5: Solve for x
    x = 34,782,623,001/126,953
  6. Step 6: Final answer
    x = 273,980.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.