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Finding the Third Proportional to 57,052.50 and 83,466

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Solution

The third proportional to 57,052.50 and 83,466 is: 122,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,052.50 : 83,466 = 83,466 : x
  2. Step 2: Convert to fraction form
    57,052.50/83,466 = 83,466/x
  3. Step 3: Cross multiply
    57,052.50x = 83,466 × 83,466
  4. Step 4: Simplify right side
    57,052.50x = 6,966,573,156
  5. Step 5: Solve for x
    x = 6,966,573,156/57,052.50
  6. Step 6: Final answer
    x = 122,108.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.