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Finding the Third Proportional to 54,804 and 119,537

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Solution

The third proportional to 54,804 and 119,537 is: 260,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,804 : 119,537 = 119,537 : x
  2. Step 2: Convert to fraction form
    54,804/119,537 = 119,537/x
  3. Step 3: Cross multiply
    54,804x = 119,537 × 119,537
  4. Step 4: Simplify right side
    54,804x = 14,289,094,369
  5. Step 5: Solve for x
    x = 14,289,094,369/54,804
  6. Step 6: Final answer
    x = 260,730.87

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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.