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Finding the Third Proportional to 48,662 and 92,235.50

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Solution

The third proportional to 48,662 and 92,235.50 is: 174,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,662 : 92,235.50 = 92,235.50 : x
  2. Step 2: Convert to fraction form
    48,662/92,235.50 = 92,235.50/x
  3. Step 3: Cross multiply
    48,662x = 92,235.50 × 92,235.50
  4. Step 4: Simplify right side
    48,662x = 8,507,387,460.25
  5. Step 5: Solve for x
    x = 8,507,387,460.25/48,662
  6. Step 6: Final answer
    x = 174,826.10

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.