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Finding the Third Proportional to 126,038.25 and 195,253.88

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Solution

The third proportional to 126,038.25 and 195,253.88 is: 302,480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,038.25 : 195,253.88 = 195,253.88 : x
  2. Step 2: Convert to fraction form
    126,038.25/195,253.88 = 195,253.88/x
  3. Step 3: Cross multiply
    126,038.25x = 195,253.88 × 195,253.88
  4. Step 4: Simplify right side
    126,038.25x = 38,124,075,702.52
  5. Step 5: Solve for x
    x = 38,124,075,702.52/126,038.25
  6. Step 6: Final answer
    x = 302,480.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.