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Finding the Third Proportional to 97,242 and 139,055

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Solution

The third proportional to 97,242 and 139,055 is: 198,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,242 : 139,055 = 139,055 : x
  2. Step 2: Convert to fraction form
    97,242/139,055 = 139,055/x
  3. Step 3: Cross multiply
    97,242x = 139,055 × 139,055
  4. Step 4: Simplify right side
    97,242x = 19,336,293,025
  5. Step 5: Solve for x
    x = 19,336,293,025/97,242
  6. Step 6: Final answer
    x = 198,847.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.