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Finding the Third Proportional to 91,990.69 and 144,000.28

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Solution

The third proportional to 91,990.69 and 144,000.28 is: 225,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,990.69 : 144,000.28 = 144,000.28 : x
  2. Step 2: Convert to fraction form
    91,990.69/144,000.28 = 144,000.28/x
  3. Step 3: Cross multiply
    91,990.69x = 144,000.28 × 144,000.28
  4. Step 4: Simplify right side
    91,990.69x = 20,736,081,000.08
  5. Step 5: Solve for x
    x = 20,736,081,000.08/91,990.69
  6. Step 6: Final answer
    x = 225,415.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.