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Finding the Third Proportional to 42,972 and 64,260

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Solution

The third proportional to 42,972 and 64,260 is: 96,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,972 : 64,260 = 64,260 : x
  2. Step 2: Convert to fraction form
    42,972/64,260 = 64,260/x
  3. Step 3: Cross multiply
    42,972x = 64,260 × 64,260
  4. Step 4: Simplify right side
    42,972x = 4,129,347,600
  5. Step 5: Solve for x
    x = 4,129,347,600/42,972
  6. Step 6: Final answer
    x = 96,093.91

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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.