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Finding the Third Proportional to 62,740 and 130,664

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Solution

The third proportional to 62,740 and 130,664 is: 272,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,740 : 130,664 = 130,664 : x
  2. Step 2: Convert to fraction form
    62,740/130,664 = 130,664/x
  3. Step 3: Cross multiply
    62,740x = 130,664 × 130,664
  4. Step 4: Simplify right side
    62,740x = 17,073,080,896
  5. Step 5: Solve for x
    x = 17,073,080,896/62,740
  6. Step 6: Final answer
    x = 272,124.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.