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Finding the Third Proportional to 112,045.50 and 241,083

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Solution

The third proportional to 112,045.50 and 241,083 is: 518,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,045.50 : 241,083 = 241,083 : x
  2. Step 2: Convert to fraction form
    112,045.50/241,083 = 241,083/x
  3. Step 3: Cross multiply
    112,045.50x = 241,083 × 241,083
  4. Step 4: Simplify right side
    112,045.50x = 58,121,012,889
  5. Step 5: Solve for x
    x = 58,121,012,889/112,045.50
  6. Step 6: Final answer
    x = 518,726.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.