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Finding the Third Proportional to 64,598 and 139,052

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Solution

The third proportional to 64,598 and 139,052 is: 299,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,598 : 139,052 = 139,052 : x
  2. Step 2: Convert to fraction form
    64,598/139,052 = 139,052/x
  3. Step 3: Cross multiply
    64,598x = 139,052 × 139,052
  4. Step 4: Simplify right side
    64,598x = 19,335,458,704
  5. Step 5: Solve for x
    x = 19,335,458,704/64,598
  6. Step 6: Final answer
    x = 299,319.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.