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Finding the Third Proportional to 118,133 and 181,574

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Solution

The third proportional to 118,133 and 181,574 is: 279,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,133 : 181,574 = 181,574 : x
  2. Step 2: Convert to fraction form
    118,133/181,574 = 181,574/x
  3. Step 3: Cross multiply
    118,133x = 181,574 × 181,574
  4. Step 4: Simplify right side
    118,133x = 32,969,117,476
  5. Step 5: Solve for x
    x = 32,969,117,476/118,133
  6. Step 6: Final answer
    x = 279,084.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.