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Finding the Third Proportional to 74,801.25 and 114,968.25

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Solution

The third proportional to 74,801.25 and 114,968.25 is: 176,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,801.25 : 114,968.25 = 114,968.25 : x
  2. Step 2: Convert to fraction form
    74,801.25/114,968.25 = 114,968.25/x
  3. Step 3: Cross multiply
    74,801.25x = 114,968.25 × 114,968.25
  4. Step 4: Simplify right side
    74,801.25x = 13,217,698,508.06
  5. Step 5: Solve for x
    x = 13,217,698,508.06/74,801.25
  6. Step 6: Final answer
    x = 176,704.25

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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.