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Finding the Third Proportional to 64,709.63 and 101,529.75

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Solution

The third proportional to 64,709.63 and 101,529.75 is: 159,300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,709.63 : 101,529.75 = 101,529.75 : x
  2. Step 2: Convert to fraction form
    64,709.63/101,529.75 = 101,529.75/x
  3. Step 3: Cross multiply
    64,709.63x = 101,529.75 × 101,529.75
  4. Step 4: Simplify right side
    64,709.63x = 10,308,290,135.06
  5. Step 5: Solve for x
    x = 10,308,290,135.06/64,709.63
  6. Step 6: Final answer
    x = 159,300.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.