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Finding the Third Proportional to 52,506 and 114,228

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Solution

The third proportional to 52,506 and 114,228 is: 248,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,506 : 114,228 = 114,228 : x
  2. Step 2: Convert to fraction form
    52,506/114,228 = 114,228/x
  3. Step 3: Cross multiply
    52,506x = 114,228 × 114,228
  4. Step 4: Simplify right side
    52,506x = 13,048,035,984
  5. Step 5: Solve for x
    x = 13,048,035,984/52,506
  6. Step 6: Final answer
    x = 248,505.62

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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.