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Finding the Third Proportional to 46,109.25 and 70,503

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Solution

The third proportional to 46,109.25 and 70,503 is: 107,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,109.25 : 70,503 = 70,503 : x
  2. Step 2: Convert to fraction form
    46,109.25/70,503 = 70,503/x
  3. Step 3: Cross multiply
    46,109.25x = 70,503 × 70,503
  4. Step 4: Simplify right side
    46,109.25x = 4,970,673,009
  5. Step 5: Solve for x
    x = 4,970,673,009/46,109.25
  6. Step 6: Final answer
    x = 107,802.08

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.