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Finding the Third Proportional to 125,926 and 276,657

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Solution

The third proportional to 125,926 and 276,657 is: 607,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,926 : 276,657 = 276,657 : x
  2. Step 2: Convert to fraction form
    125,926/276,657 = 276,657/x
  3. Step 3: Cross multiply
    125,926x = 276,657 × 276,657
  4. Step 4: Simplify right side
    125,926x = 76,539,095,649
  5. Step 5: Solve for x
    x = 76,539,095,649/125,926
  6. Step 6: Final answer
    x = 607,810.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.