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Finding the Third Proportional to 113,362.88 and 172,759.50

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Solution

The third proportional to 113,362.88 and 172,759.50 is: 263,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,362.88 : 172,759.50 = 172,759.50 : x
  2. Step 2: Convert to fraction form
    113,362.88/172,759.50 = 172,759.50/x
  3. Step 3: Cross multiply
    113,362.88x = 172,759.50 × 172,759.50
  4. Step 4: Simplify right side
    113,362.88x = 29,845,844,840.25
  5. Step 5: Solve for x
    x = 29,845,844,840.25/113,362.88
  6. Step 6: Final answer
    x = 263,277.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.