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Finding the Third Proportional to 111,222 and 172,363

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Solution

The third proportional to 111,222 and 172,363 is: 267,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,222 : 172,363 = 172,363 : x
  2. Step 2: Convert to fraction form
    111,222/172,363 = 172,363/x
  3. Step 3: Cross multiply
    111,222x = 172,363 × 172,363
  4. Step 4: Simplify right side
    111,222x = 29,709,003,769
  5. Step 5: Solve for x
    x = 29,709,003,769/111,222
  6. Step 6: Final answer
    x = 267,114.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.