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Finding the Third Proportional to 144,964.69 and 158,106.94

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Solution

The third proportional to 144,964.69 and 158,106.94 is: 172,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,964.69 : 158,106.94 = 158,106.94 : x
  2. Step 2: Convert to fraction form
    144,964.69/158,106.94 = 158,106.94/x
  3. Step 3: Cross multiply
    144,964.69x = 158,106.94 × 158,106.94
  4. Step 4: Simplify right side
    144,964.69x = 24,997,803,685.63
  5. Step 5: Solve for x
    x = 24,997,803,685.63/144,964.69
  6. Step 6: Final answer
    x = 172,440.64

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.