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Finding the Third Proportional to 55,547 and 120,571

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Solution

The third proportional to 55,547 and 120,571 is: 261,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,547 : 120,571 = 120,571 : x
  2. Step 2: Convert to fraction form
    55,547/120,571 = 120,571/x
  3. Step 3: Cross multiply
    55,547x = 120,571 × 120,571
  4. Step 4: Simplify right side
    55,547x = 14,537,366,041
  5. Step 5: Solve for x
    x = 14,537,366,041/55,547
  6. Step 6: Final answer
    x = 261,712.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.