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Finding the Third Proportional to 124,526 and 177,919

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Solution

The third proportional to 124,526 and 177,919 is: 254,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,526 : 177,919 = 177,919 : x
  2. Step 2: Convert to fraction form
    124,526/177,919 = 177,919/x
  3. Step 3: Cross multiply
    124,526x = 177,919 × 177,919
  4. Step 4: Simplify right side
    124,526x = 31,655,170,561
  5. Step 5: Solve for x
    x = 31,655,170,561/124,526
  6. Step 6: Final answer
    x = 254,205.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.