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Finding the Third Proportional to 54,863 and 119,547

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Solution

The third proportional to 54,863 and 119,547 is: 260,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,863 : 119,547 = 119,547 : x
  2. Step 2: Convert to fraction form
    54,863/119,547 = 119,547/x
  3. Step 3: Cross multiply
    54,863x = 119,547 × 119,547
  4. Step 4: Simplify right side
    54,863x = 14,291,485,209
  5. Step 5: Solve for x
    x = 14,291,485,209/54,863
  6. Step 6: Final answer
    x = 260,494.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.