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Finding the Third Proportional to 97,782 and 187,788

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Solution

The third proportional to 97,782 and 187,788 is: 360,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,782 : 187,788 = 187,788 : x
  2. Step 2: Convert to fraction form
    97,782/187,788 = 187,788/x
  3. Step 3: Cross multiply
    97,782x = 187,788 × 187,788
  4. Step 4: Simplify right side
    97,782x = 35,264,332,944
  5. Step 5: Solve for x
    x = 35,264,332,944/97,782
  6. Step 6: Final answer
    x = 360,642.38

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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.