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Finding the Third Proportional to 111,051 and 170,824.50

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Solution

The third proportional to 111,051 and 170,824.50 is: 262,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,051 : 170,824.50 = 170,824.50 : x
  2. Step 2: Convert to fraction form
    111,051/170,824.50 = 170,824.50/x
  3. Step 3: Cross multiply
    111,051x = 170,824.50 × 170,824.50
  4. Step 4: Simplify right side
    111,051x = 29,181,009,800.25
  5. Step 5: Solve for x
    x = 29,181,009,800.25/111,051
  6. Step 6: Final answer
    x = 262,771.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.