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Finding the Third Proportional to 65,848 and 139,904

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Solution

The third proportional to 65,848 and 139,904 is: 297,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,848 : 139,904 = 139,904 : x
  2. Step 2: Convert to fraction form
    65,848/139,904 = 139,904/x
  3. Step 3: Cross multiply
    65,848x = 139,904 × 139,904
  4. Step 4: Simplify right side
    65,848x = 19,573,129,216
  5. Step 5: Solve for x
    x = 19,573,129,216/65,848
  6. Step 6: Final answer
    x = 297,247.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.