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Finding the Third Proportional to 64,742.63 and 133,980.75

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Solution

The third proportional to 64,742.63 and 133,980.75 is: 277,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,742.63 : 133,980.75 = 133,980.75 : x
  2. Step 2: Convert to fraction form
    64,742.63/133,980.75 = 133,980.75/x
  3. Step 3: Cross multiply
    64,742.63x = 133,980.75 × 133,980.75
  4. Step 4: Simplify right side
    64,742.63x = 17,950,841,370.56
  5. Step 5: Solve for x
    x = 17,950,841,370.56/64,742.63
  6. Step 6: Final answer
    x = 277,264.65

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.