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Finding the Third Proportional to 124,611 and 265,539

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Solution

The third proportional to 124,611 and 265,539 is: 565,848.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,611 : 265,539 = 265,539 : x
  2. Step 2: Convert to fraction form
    124,611/265,539 = 265,539/x
  3. Step 3: Cross multiply
    124,611x = 265,539 × 265,539
  4. Step 4: Simplify right side
    124,611x = 70,510,960,521
  5. Step 5: Solve for x
    x = 70,510,960,521/124,611
  6. Step 6: Final answer
    x = 565,848.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.