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Finding the Third Proportional to 65,470 and 100,111

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Solution

The third proportional to 65,470 and 100,111 is: 153,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,470 : 100,111 = 100,111 : x
  2. Step 2: Convert to fraction form
    65,470/100,111 = 100,111/x
  3. Step 3: Cross multiply
    65,470x = 100,111 × 100,111
  4. Step 4: Simplify right side
    65,470x = 10,022,212,321
  5. Step 5: Solve for x
    x = 10,022,212,321/65,470
  6. Step 6: Final answer
    x = 153,080.99

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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.