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Finding the Third Proportional to 97,244 and 139,058

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Solution

The third proportional to 97,244 and 139,058 is: 198,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,244 : 139,058 = 139,058 : x
  2. Step 2: Convert to fraction form
    97,244/139,058 = 139,058/x
  3. Step 3: Cross multiply
    97,244x = 139,058 × 139,058
  4. Step 4: Simplify right side
    97,244x = 19,337,127,364
  5. Step 5: Solve for x
    x = 19,337,127,364/97,244
  6. Step 6: Final answer
    x = 198,851.62

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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.