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Finding the Third Proportional to 64,953 and 103,433

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Solution

The third proportional to 64,953 and 103,433 is: 164,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,953 : 103,433 = 103,433 : x
  2. Step 2: Convert to fraction form
    64,953/103,433 = 103,433/x
  3. Step 3: Cross multiply
    64,953x = 103,433 × 103,433
  4. Step 4: Simplify right side
    64,953x = 10,698,385,489
  5. Step 5: Solve for x
    x = 10,698,385,489/64,953
  6. Step 6: Final answer
    x = 164,709.64

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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.