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Finding the Third Proportional to 55,897 and 119,791

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Solution

The third proportional to 55,897 and 119,791 is: 256,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,897 : 119,791 = 119,791 : x
  2. Step 2: Convert to fraction form
    55,897/119,791 = 119,791/x
  3. Step 3: Cross multiply
    55,897x = 119,791 × 119,791
  4. Step 4: Simplify right side
    55,897x = 14,349,883,681
  5. Step 5: Solve for x
    x = 14,349,883,681/55,897
  6. Step 6: Final answer
    x = 256,720.10

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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.