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Finding the Third Proportional to 45,192 and 64,560

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Solution

The third proportional to 45,192 and 64,560 is: 92,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,192 : 64,560 = 64,560 : x
  2. Step 2: Convert to fraction form
    45,192/64,560 = 64,560/x
  3. Step 3: Cross multiply
    45,192x = 64,560 × 64,560
  4. Step 4: Simplify right side
    45,192x = 4,167,993,600
  5. Step 5: Solve for x
    x = 4,167,993,600/45,192
  6. Step 6: Final answer
    x = 92,228.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.