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Finding the Third Proportional to 64,562.10 and 139,498.21

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Solution

The third proportional to 64,562.10 and 139,498.21 is: 301,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,562.10 : 139,498.21 = 139,498.21 : x
  2. Step 2: Convert to fraction form
    64,562.10/139,498.21 = 139,498.21/x
  3. Step 3: Cross multiply
    64,562.10x = 139,498.21 × 139,498.21
  4. Step 4: Simplify right side
    64,562.10x = 19,459,749,764.93
  5. Step 5: Solve for x
    x = 19,459,749,764.93/64,562.10
  6. Step 6: Final answer
    x = 301,411.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.