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Finding the Third Proportional to 64,211.63 and 102,263.63

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Solution

The third proportional to 64,211.63 and 102,263.63 is: 162,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,211.63 : 102,263.63 = 102,263.63 : x
  2. Step 2: Convert to fraction form
    64,211.63/102,263.63 = 102,263.63/x
  3. Step 3: Cross multiply
    64,211.63x = 102,263.63 × 102,263.63
  4. Step 4: Simplify right side
    64,211.63x = 10,457,848,998.14
  5. Step 5: Solve for x
    x = 10,457,848,998.14/64,211.63
  6. Step 6: Final answer
    x = 162,865.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.