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Finding the Third Proportional to 53,036.25 and 75,180

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Solution

The third proportional to 53,036.25 and 75,180 is: 106,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,036.25 : 75,180 = 75,180 : x
  2. Step 2: Convert to fraction form
    53,036.25/75,180 = 75,180/x
  3. Step 3: Cross multiply
    53,036.25x = 75,180 × 75,180
  4. Step 4: Simplify right side
    53,036.25x = 5,652,032,400
  5. Step 5: Solve for x
    x = 5,652,032,400/53,036.25
  6. Step 6: Final answer
    x = 106,569.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.