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Finding the Third Proportional to 111,673 and 243,029

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Solution

The third proportional to 111,673 and 243,029 is: 528,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,673 : 243,029 = 243,029 : x
  2. Step 2: Convert to fraction form
    111,673/243,029 = 243,029/x
  3. Step 3: Cross multiply
    111,673x = 243,029 × 243,029
  4. Step 4: Simplify right side
    111,673x = 59,063,094,841
  5. Step 5: Solve for x
    x = 59,063,094,841/111,673
  6. Step 6: Final answer
    x = 528,893.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.