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Finding the Third Proportional to 51,522 and 114,708

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Solution

The third proportional to 51,522 and 114,708 is: 255,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,522 : 114,708 = 114,708 : x
  2. Step 2: Convert to fraction form
    51,522/114,708 = 114,708/x
  3. Step 3: Cross multiply
    51,522x = 114,708 × 114,708
  4. Step 4: Simplify right side
    51,522x = 13,157,925,264
  5. Step 5: Solve for x
    x = 13,157,925,264/51,522
  6. Step 6: Final answer
    x = 255,384.60

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.