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Finding the Third Proportional to 118,270 and 183,633

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Solution

The third proportional to 118,270 and 183,633 is: 285,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,270 : 183,633 = 183,633 : x
  2. Step 2: Convert to fraction form
    118,270/183,633 = 183,633/x
  3. Step 3: Cross multiply
    118,270x = 183,633 × 183,633
  4. Step 4: Simplify right side
    118,270x = 33,721,078,689
  5. Step 5: Solve for x
    x = 33,721,078,689/118,270
  6. Step 6: Final answer
    x = 285,119.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.