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Finding the Third Proportional to 59,032.78 and 127,394.25

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Solution

The third proportional to 59,032.78 and 127,394.25 is: 274,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,032.78 : 127,394.25 = 127,394.25 : x
  2. Step 2: Convert to fraction form
    59,032.78/127,394.25 = 127,394.25/x
  3. Step 3: Cross multiply
    59,032.78x = 127,394.25 × 127,394.25
  4. Step 4: Simplify right side
    59,032.78x = 16,229,294,933.06
  5. Step 5: Solve for x
    x = 16,229,294,933.06/59,032.78
  6. Step 6: Final answer
    x = 274,920.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.