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Finding the Third Proportional to 55,324 and 83,124

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Solution

The third proportional to 55,324 and 83,124 is: 124,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,324 : 83,124 = 83,124 : x
  2. Step 2: Convert to fraction form
    55,324/83,124 = 83,124/x
  3. Step 3: Cross multiply
    55,324x = 83,124 × 83,124
  4. Step 4: Simplify right side
    55,324x = 6,909,599,376
  5. Step 5: Solve for x
    x = 6,909,599,376/55,324
  6. Step 6: Final answer
    x = 124,893.34

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Why These Related Problems?

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