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Finding the Third Proportional to 64,402.59 and 139,527.56

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Solution

The third proportional to 64,402.59 and 139,527.56 is: 302,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,402.59 : 139,527.56 = 139,527.56 : x
  2. Step 2: Convert to fraction form
    64,402.59/139,527.56 = 139,527.56/x
  3. Step 3: Cross multiply
    64,402.59x = 139,527.56 × 139,527.56
  4. Step 4: Simplify right side
    64,402.59x = 19,467,940,697.19
  5. Step 5: Solve for x
    x = 19,467,940,697.19/64,402.59
  6. Step 6: Final answer
    x = 302,285.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.