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Finding the Third Proportional to 62,836 and 130,046

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Solution

The third proportional to 62,836 and 130,046 is: 269,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,836 : 130,046 = 130,046 : x
  2. Step 2: Convert to fraction form
    62,836/130,046 = 130,046/x
  3. Step 3: Cross multiply
    62,836x = 130,046 × 130,046
  4. Step 4: Simplify right side
    62,836x = 16,911,962,116
  5. Step 5: Solve for x
    x = 16,911,962,116/62,836
  6. Step 6: Final answer
    x = 269,144.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.