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Finding the Third Proportional to 53,224 and 83,454

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Solution

The third proportional to 53,224 and 83,454 is: 130,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,224 : 83,454 = 83,454 : x
  2. Step 2: Convert to fraction form
    53,224/83,454 = 83,454/x
  3. Step 3: Cross multiply
    53,224x = 83,454 × 83,454
  4. Step 4: Simplify right side
    53,224x = 6,964,570,116
  5. Step 5: Solve for x
    x = 6,964,570,116/53,224
  6. Step 6: Final answer
    x = 130,853.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.