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Finding the Third Proportional to 102,346 and 157,894

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Solution

The third proportional to 102,346 and 157,894 is: 243,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,346 : 157,894 = 157,894 : x
  2. Step 2: Convert to fraction form
    102,346/157,894 = 157,894/x
  3. Step 3: Cross multiply
    102,346x = 157,894 × 157,894
  4. Step 4: Simplify right side
    102,346x = 24,930,515,236
  5. Step 5: Solve for x
    x = 24,930,515,236/102,346
  6. Step 6: Final answer
    x = 243,590.52

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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.