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Finding the Third Proportional to 55,894.50 and 119,787

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Solution

The third proportional to 55,894.50 and 119,787 is: 256,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,894.50 : 119,787 = 119,787 : x
  2. Step 2: Convert to fraction form
    55,894.50/119,787 = 119,787/x
  3. Step 3: Cross multiply
    55,894.50x = 119,787 × 119,787
  4. Step 4: Simplify right side
    55,894.50x = 14,348,925,369
  5. Step 5: Solve for x
    x = 14,348,925,369/55,894.50
  6. Step 6: Final answer
    x = 256,714.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.