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Finding the Third Proportional to 42,120 and 63,288

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Solution

The third proportional to 42,120 and 63,288 is: 95,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,120 : 63,288 = 63,288 : x
  2. Step 2: Convert to fraction form
    42,120/63,288 = 63,288/x
  3. Step 3: Cross multiply
    42,120x = 63,288 × 63,288
  4. Step 4: Simplify right side
    42,120x = 4,005,370,944
  5. Step 5: Solve for x
    x = 4,005,370,944/42,120
  6. Step 6: Final answer
    x = 95,094.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.