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Finding the Third Proportional to 111,267 and 164,455

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Solution

The third proportional to 111,267 and 164,455 is: 243,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,267 : 164,455 = 164,455 : x
  2. Step 2: Convert to fraction form
    111,267/164,455 = 164,455/x
  3. Step 3: Cross multiply
    111,267x = 164,455 × 164,455
  4. Step 4: Simplify right side
    111,267x = 27,045,447,025
  5. Step 5: Solve for x
    x = 27,045,447,025/111,267
  6. Step 6: Final answer
    x = 243,068.00

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.