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Finding the Third Proportional to 64,160 and 94,296

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Solution

The third proportional to 64,160 and 94,296 is: 138,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,160 : 94,296 = 94,296 : x
  2. Step 2: Convert to fraction form
    64,160/94,296 = 94,296/x
  3. Step 3: Cross multiply
    64,160x = 94,296 × 94,296
  4. Step 4: Simplify right side
    64,160x = 8,891,735,616
  5. Step 5: Solve for x
    x = 8,891,735,616/64,160
  6. Step 6: Final answer
    x = 138,586.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.