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Finding the Third Proportional to 118,537 and 181,768

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Solution

The third proportional to 118,537 and 181,768 is: 278,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,537 : 181,768 = 181,768 : x
  2. Step 2: Convert to fraction form
    118,537/181,768 = 181,768/x
  3. Step 3: Cross multiply
    118,537x = 181,768 × 181,768
  4. Step 4: Simplify right side
    118,537x = 33,039,605,824
  5. Step 5: Solve for x
    x = 33,039,605,824/118,537
  6. Step 6: Final answer
    x = 278,728.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.