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Finding the Third Proportional to 103,197 and 157,752

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Solution

The third proportional to 103,197 and 157,752 is: 241,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,197 : 157,752 = 157,752 : x
  2. Step 2: Convert to fraction form
    103,197/157,752 = 157,752/x
  3. Step 3: Cross multiply
    103,197x = 157,752 × 157,752
  4. Step 4: Simplify right side
    103,197x = 24,885,693,504
  5. Step 5: Solve for x
    x = 24,885,693,504/103,197
  6. Step 6: Final answer
    x = 241,147.45

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Why These Related Problems?

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