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Finding the Third Proportional to 53,228 and 83,460

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Solution

The third proportional to 53,228 and 83,460 is: 130,862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,228 : 83,460 = 83,460 : x
  2. Step 2: Convert to fraction form
    53,228/83,460 = 83,460/x
  3. Step 3: Cross multiply
    53,228x = 83,460 × 83,460
  4. Step 4: Simplify right side
    53,228x = 6,965,571,600
  5. Step 5: Solve for x
    x = 6,965,571,600/53,228
  6. Step 6: Final answer
    x = 130,862.92

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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.