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Finding the Third Proportional to 126,176 and 175,440

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Solution

The third proportional to 126,176 and 175,440 is: 243,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,176 : 175,440 = 175,440 : x
  2. Step 2: Convert to fraction form
    126,176/175,440 = 175,440/x
  3. Step 3: Cross multiply
    126,176x = 175,440 × 175,440
  4. Step 4: Simplify right side
    126,176x = 30,779,193,600
  5. Step 5: Solve for x
    x = 30,779,193,600/126,176
  6. Step 6: Final answer
    x = 243,938.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.