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Finding the Third Proportional to 51,032.25 and 109,442.25

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Solution

The third proportional to 51,032.25 and 109,442.25 is: 234,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,032.25 : 109,442.25 = 109,442.25 : x
  2. Step 2: Convert to fraction form
    51,032.25/109,442.25 = 109,442.25/x
  3. Step 3: Cross multiply
    51,032.25x = 109,442.25 × 109,442.25
  4. Step 4: Simplify right side
    51,032.25x = 11,977,606,085.06
  5. Step 5: Solve for x
    x = 11,977,606,085.06/51,032.25
  6. Step 6: Final answer
    x = 234,706.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.