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Finding the Third Proportional to 42,828 and 90,271.50

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Solution

The third proportional to 42,828 and 90,271.50 is: 190,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,828 : 90,271.50 = 90,271.50 : x
  2. Step 2: Convert to fraction form
    42,828/90,271.50 = 90,271.50/x
  3. Step 3: Cross multiply
    42,828x = 90,271.50 × 90,271.50
  4. Step 4: Simplify right side
    42,828x = 8,148,943,712.25
  5. Step 5: Solve for x
    x = 8,148,943,712.25/42,828
  6. Step 6: Final answer
    x = 190,271.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.