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Finding the Third Proportional to 114,988.50 and 161,133.75

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Solution

The third proportional to 114,988.50 and 161,133.75 is: 225,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,988.50 : 161,133.75 = 161,133.75 : x
  2. Step 2: Convert to fraction form
    114,988.50/161,133.75 = 161,133.75/x
  3. Step 3: Cross multiply
    114,988.50x = 161,133.75 × 161,133.75
  4. Step 4: Simplify right side
    114,988.50x = 25,964,085,389.06
  5. Step 5: Solve for x
    x = 25,964,085,389.06/114,988.50
  6. Step 6: Final answer
    x = 225,797.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.