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Finding the Third Proportional to 53,391 and 81,436.50

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Solution

The third proportional to 53,391 and 81,436.50 is: 124,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,391 : 81,436.50 = 81,436.50 : x
  2. Step 2: Convert to fraction form
    53,391/81,436.50 = 81,436.50/x
  3. Step 3: Cross multiply
    53,391x = 81,436.50 × 81,436.50
  4. Step 4: Simplify right side
    53,391x = 6,631,903,532.25
  5. Step 5: Solve for x
    x = 6,631,903,532.25/53,391
  6. Step 6: Final answer
    x = 124,213.88

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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.