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Finding the Third Proportional to 65,946 and 100,580

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Solution

The third proportional to 65,946 and 100,580 is: 153,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,946 : 100,580 = 100,580 : x
  2. Step 2: Convert to fraction form
    65,946/100,580 = 100,580/x
  3. Step 3: Cross multiply
    65,946x = 100,580 × 100,580
  4. Step 4: Simplify right side
    65,946x = 10,116,336,400
  5. Step 5: Solve for x
    x = 10,116,336,400/65,946
  6. Step 6: Final answer
    x = 153,403.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.