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Finding the Third Proportional to 64,157 and 130,834

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Solution

The third proportional to 64,157 and 130,834 is: 266,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,157 : 130,834 = 130,834 : x
  2. Step 2: Convert to fraction form
    64,157/130,834 = 130,834/x
  3. Step 3: Cross multiply
    64,157x = 130,834 × 130,834
  4. Step 4: Simplify right side
    64,157x = 17,117,535,556
  5. Step 5: Solve for x
    x = 17,117,535,556/64,157
  6. Step 6: Final answer
    x = 266,806.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.