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Finding the Third Proportional to 64,010 and 100,416

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Solution

The third proportional to 64,010 and 100,416 is: 157,528.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,010 : 100,416 = 100,416 : x
  2. Step 2: Convert to fraction form
    64,010/100,416 = 100,416/x
  3. Step 3: Cross multiply
    64,010x = 100,416 × 100,416
  4. Step 4: Simplify right side
    64,010x = 10,083,373,056
  5. Step 5: Solve for x
    x = 10,083,373,056/64,010
  6. Step 6: Final answer
    x = 157,528.09

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Why These Related Problems?

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