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Finding the Third Proportional to 69,283 and 111,575

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Solution

The third proportional to 69,283 and 111,575 is: 179,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,283 : 111,575 = 111,575 : x
  2. Step 2: Convert to fraction form
    69,283/111,575 = 111,575/x
  3. Step 3: Cross multiply
    69,283x = 111,575 × 111,575
  4. Step 4: Simplify right side
    69,283x = 12,448,980,625
  5. Step 5: Solve for x
    x = 12,448,980,625/69,283
  6. Step 6: Final answer
    x = 179,683.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.