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Finding the Third Proportional to 64,592.25 and 134,044.50

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Solution

The third proportional to 64,592.25 and 134,044.50 is: 278,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,592.25 : 134,044.50 = 134,044.50 : x
  2. Step 2: Convert to fraction form
    64,592.25/134,044.50 = 134,044.50/x
  3. Step 3: Cross multiply
    64,592.25x = 134,044.50 × 134,044.50
  4. Step 4: Simplify right side
    64,592.25x = 17,967,927,980.25
  5. Step 5: Solve for x
    x = 17,967,927,980.25/64,592.25
  6. Step 6: Final answer
    x = 278,174.67

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.