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Finding the Third Proportional to 120,575.25 and 177,377.25

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Solution

The third proportional to 120,575.25 and 177,377.25 is: 260,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,575.25 : 177,377.25 = 177,377.25 : x
  2. Step 2: Convert to fraction form
    120,575.25/177,377.25 = 177,377.25/x
  3. Step 3: Cross multiply
    120,575.25x = 177,377.25 × 177,377.25
  4. Step 4: Simplify right side
    120,575.25x = 31,462,688,817.56
  5. Step 5: Solve for x
    x = 31,462,688,817.56/120,575.25
  6. Step 6: Final answer
    x = 260,938.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.