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Finding the Third Proportional to 102,362 and 157,917

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Solution

The third proportional to 102,362 and 157,917 is: 243,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,362 : 157,917 = 157,917 : x
  2. Step 2: Convert to fraction form
    102,362/157,917 = 157,917/x
  3. Step 3: Cross multiply
    102,362x = 157,917 × 157,917
  4. Step 4: Simplify right side
    102,362x = 24,937,778,889
  5. Step 5: Solve for x
    x = 24,937,778,889/102,362
  6. Step 6: Final answer
    x = 243,623.40

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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.