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Finding the Third Proportional to 102,242 and 157,091

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Solution

The third proportional to 102,242 and 157,091 is: 241,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,242 : 157,091 = 157,091 : x
  2. Step 2: Convert to fraction form
    102,242/157,091 = 157,091/x
  3. Step 3: Cross multiply
    102,242x = 157,091 × 157,091
  4. Step 4: Simplify right side
    102,242x = 24,677,582,281
  5. Step 5: Solve for x
    x = 24,677,582,281/102,242
  6. Step 6: Final answer
    x = 241,364.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.