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Finding the Third Proportional to 111,345 and 172,441.50

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Solution

The third proportional to 111,345 and 172,441.50 is: 267,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,345 : 172,441.50 = 172,441.50 : x
  2. Step 2: Convert to fraction form
    111,345/172,441.50 = 172,441.50/x
  3. Step 3: Cross multiply
    111,345x = 172,441.50 × 172,441.50
  4. Step 4: Simplify right side
    111,345x = 29,736,070,922.25
  5. Step 5: Solve for x
    x = 29,736,070,922.25/111,345
  6. Step 6: Final answer
    x = 267,062.47

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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.