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Finding the Third Proportional to 126,051 and 275,702.50

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Solution

The third proportional to 126,051 and 275,702.50 is: 603,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,051 : 275,702.50 = 275,702.50 : x
  2. Step 2: Convert to fraction form
    126,051/275,702.50 = 275,702.50/x
  3. Step 3: Cross multiply
    126,051x = 275,702.50 × 275,702.50
  4. Step 4: Simplify right side
    126,051x = 76,011,868,506.25
  5. Step 5: Solve for x
    x = 76,011,868,506.25/126,051
  6. Step 6: Final answer
    x = 603,024.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.