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Finding the Third Proportional to 64,572 and 139,034

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Solution

The third proportional to 64,572 and 139,034 is: 299,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,572 : 139,034 = 139,034 : x
  2. Step 2: Convert to fraction form
    64,572/139,034 = 139,034/x
  3. Step 3: Cross multiply
    64,572x = 139,034 × 139,034
  4. Step 4: Simplify right side
    64,572x = 19,330,453,156
  5. Step 5: Solve for x
    x = 19,330,453,156/64,572
  6. Step 6: Final answer
    x = 299,362.78

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