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Finding the Third Proportional to 64,326 and 139,384.50

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Solution

The third proportional to 64,326 and 139,384.50 is: 302,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,326 : 139,384.50 = 139,384.50 : x
  2. Step 2: Convert to fraction form
    64,326/139,384.50 = 139,384.50/x
  3. Step 3: Cross multiply
    64,326x = 139,384.50 × 139,384.50
  4. Step 4: Simplify right side
    64,326x = 19,428,038,840.25
  5. Step 5: Solve for x
    x = 19,428,038,840.25/64,326
  6. Step 6: Final answer
    x = 302,024.67

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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.