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Finding the Third Proportional to 97,772 and 187,768

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Solution

The third proportional to 97,772 and 187,768 is: 360,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,772 : 187,768 = 187,768 : x
  2. Step 2: Convert to fraction form
    97,772/187,768 = 187,768/x
  3. Step 3: Cross multiply
    97,772x = 187,768 × 187,768
  4. Step 4: Simplify right side
    97,772x = 35,256,821,824
  5. Step 5: Solve for x
    x = 35,256,821,824/97,772
  6. Step 6: Final answer
    x = 360,602.44

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.