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Finding the Third Proportional to 102,337 and 157,879

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Solution

The third proportional to 102,337 and 157,879 is: 243,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,337 : 157,879 = 157,879 : x
  2. Step 2: Convert to fraction form
    102,337/157,879 = 157,879/x
  3. Step 3: Cross multiply
    102,337x = 157,879 × 157,879
  4. Step 4: Simplify right side
    102,337x = 24,925,778,641
  5. Step 5: Solve for x
    x = 24,925,778,641/102,337
  6. Step 6: Final answer
    x = 243,565.66

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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.