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Finding the Third Proportional to 52,612 and 114,440

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Solution

The third proportional to 52,612 and 114,440 is: 248,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,612 : 114,440 = 114,440 : x
  2. Step 2: Convert to fraction form
    52,612/114,440 = 114,440/x
  3. Step 3: Cross multiply
    52,612x = 114,440 × 114,440
  4. Step 4: Simplify right side
    52,612x = 13,096,513,600
  5. Step 5: Solve for x
    x = 13,096,513,600/52,612
  6. Step 6: Final answer
    x = 248,926.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.