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Finding the Third Proportional to 107,119.97 and 157,365.28

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Solution

The third proportional to 107,119.97 and 157,365.28 is: 231,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,119.97 : 157,365.28 = 157,365.28 : x
  2. Step 2: Convert to fraction form
    107,119.97/157,365.28 = 157,365.28/x
  3. Step 3: Cross multiply
    107,119.97x = 157,365.28 × 157,365.28
  4. Step 4: Simplify right side
    107,119.97x = 24,763,831,742.89
  5. Step 5: Solve for x
    x = 24,763,831,742.89/107,119.97
  6. Step 6: Final answer
    x = 231,178.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.