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Finding the Third Proportional to 53,896 and 81,594

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Solution

The third proportional to 53,896 and 81,594 is: 123,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,896 : 81,594 = 81,594 : x
  2. Step 2: Convert to fraction form
    53,896/81,594 = 81,594/x
  3. Step 3: Cross multiply
    53,896x = 81,594 × 81,594
  4. Step 4: Simplify right side
    53,896x = 6,657,580,836
  5. Step 5: Solve for x
    x = 6,657,580,836/53,896
  6. Step 6: Final answer
    x = 123,526.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.