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Finding the Third Proportional to 56,700 and 83,318

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Solution

The third proportional to 56,700 and 83,318 is: 122,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,700 : 83,318 = 83,318 : x
  2. Step 2: Convert to fraction form
    56,700/83,318 = 83,318/x
  3. Step 3: Cross multiply
    56,700x = 83,318 × 83,318
  4. Step 4: Simplify right side
    56,700x = 6,941,889,124
  5. Step 5: Solve for x
    x = 6,941,889,124/56,700
  6. Step 6: Final answer
    x = 122,431.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.