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Finding the Third Proportional to 102,340 and 157,878

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Solution

The third proportional to 102,340 and 157,878 is: 243,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,340 : 157,878 = 157,878 : x
  2. Step 2: Convert to fraction form
    102,340/157,878 = 157,878/x
  3. Step 3: Cross multiply
    102,340x = 157,878 × 157,878
  4. Step 4: Simplify right side
    102,340x = 24,925,462,884
  5. Step 5: Solve for x
    x = 24,925,462,884/102,340
  6. Step 6: Final answer
    x = 243,555.43

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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.