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Finding the Third Proportional to 53,641.75 and 81,154

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Solution

The third proportional to 53,641.75 and 81,154 is: 122,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,641.75 : 81,154 = 81,154 : x
  2. Step 2: Convert to fraction form
    53,641.75/81,154 = 81,154/x
  3. Step 3: Cross multiply
    53,641.75x = 81,154 × 81,154
  4. Step 4: Simplify right side
    53,641.75x = 6,585,971,716
  5. Step 5: Solve for x
    x = 6,585,971,716/53,641.75
  6. Step 6: Final answer
    x = 122,776.97

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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.