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Finding the Third Proportional to 53,424 and 83,160

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Solution

The third proportional to 53,424 and 83,160 is: 129,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,424 : 83,160 = 83,160 : x
  2. Step 2: Convert to fraction form
    53,424/83,160 = 83,160/x
  3. Step 3: Cross multiply
    53,424x = 83,160 × 83,160
  4. Step 4: Simplify right side
    53,424x = 6,915,585,600
  5. Step 5: Solve for x
    x = 6,915,585,600/53,424
  6. Step 6: Final answer
    x = 129,447.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.