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Finding the Third Proportional to 42,315 and 100,252.50

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Solution

The third proportional to 42,315 and 100,252.50 is: 237,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,315 : 100,252.50 = 100,252.50 : x
  2. Step 2: Convert to fraction form
    42,315/100,252.50 = 100,252.50/x
  3. Step 3: Cross multiply
    42,315x = 100,252.50 × 100,252.50
  4. Step 4: Simplify right side
    42,315x = 10,050,563,756.25
  5. Step 5: Solve for x
    x = 10,050,563,756.25/42,315
  6. Step 6: Final answer
    x = 237,517.75

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.