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Finding the Third Proportional to 127,538.25 and 190,641

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Solution

The third proportional to 127,538.25 and 190,641 is: 284,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,538.25 : 190,641 = 190,641 : x
  2. Step 2: Convert to fraction form
    127,538.25/190,641 = 190,641/x
  3. Step 3: Cross multiply
    127,538.25x = 190,641 × 190,641
  4. Step 4: Simplify right side
    127,538.25x = 36,343,990,881
  5. Step 5: Solve for x
    x = 36,343,990,881/127,538.25
  6. Step 6: Final answer
    x = 284,965.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.