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Finding the Third Proportional to 52,948 and 114,600

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Solution

The third proportional to 52,948 and 114,600 is: 248,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,948 : 114,600 = 114,600 : x
  2. Step 2: Convert to fraction form
    52,948/114,600 = 114,600/x
  3. Step 3: Cross multiply
    52,948x = 114,600 × 114,600
  4. Step 4: Simplify right side
    52,948x = 13,133,160,000
  5. Step 5: Solve for x
    x = 13,133,160,000/52,948
  6. Step 6: Final answer
    x = 248,038.83

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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.