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Finding the Third Proportional to 55,148 and 120,791

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Solution

The third proportional to 55,148 and 120,791 is: 264,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,148 : 120,791 = 120,791 : x
  2. Step 2: Convert to fraction form
    55,148/120,791 = 120,791/x
  3. Step 3: Cross multiply
    55,148x = 120,791 × 120,791
  4. Step 4: Simplify right side
    55,148x = 14,590,465,681
  5. Step 5: Solve for x
    x = 14,590,465,681/55,148
  6. Step 6: Final answer
    x = 264,569.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.