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Finding the Third Proportional to 127,206.50 and 186,921.75

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Solution

The third proportional to 127,206.50 and 186,921.75 is: 274,669.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,206.50 : 186,921.75 = 186,921.75 : x
  2. Step 2: Convert to fraction form
    127,206.50/186,921.75 = 186,921.75/x
  3. Step 3: Cross multiply
    127,206.50x = 186,921.75 × 186,921.75
  4. Step 4: Simplify right side
    127,206.50x = 34,939,740,623.06
  5. Step 5: Solve for x
    x = 34,939,740,623.06/127,206.50
  6. Step 6: Final answer
    x = 274,669.46

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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.