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Finding the Third Proportional to 55,476 and 119,700

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Solution

The third proportional to 55,476 and 119,700 is: 258,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,476 : 119,700 = 119,700 : x
  2. Step 2: Convert to fraction form
    55,476/119,700 = 119,700/x
  3. Step 3: Cross multiply
    55,476x = 119,700 × 119,700
  4. Step 4: Simplify right side
    55,476x = 14,328,090,000
  5. Step 5: Solve for x
    x = 14,328,090,000/55,476
  6. Step 6: Final answer
    x = 258,275.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.