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Finding the Third Proportional to 53,379 and 81,877.50

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Solution

The third proportional to 53,379 and 81,877.50 is: 125,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,379 : 81,877.50 = 81,877.50 : x
  2. Step 2: Convert to fraction form
    53,379/81,877.50 = 81,877.50/x
  3. Step 3: Cross multiply
    53,379x = 81,877.50 × 81,877.50
  4. Step 4: Simplify right side
    53,379x = 6,703,925,006.25
  5. Step 5: Solve for x
    x = 6,703,925,006.25/53,379
  6. Step 6: Final answer
    x = 125,591.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.