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Finding the Third Proportional to 153,101.25 and 200,126.25

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Solution

The third proportional to 153,101.25 and 200,126.25 is: 261,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,101.25 : 200,126.25 = 200,126.25 : x
  2. Step 2: Convert to fraction form
    153,101.25/200,126.25 = 200,126.25/x
  3. Step 3: Cross multiply
    153,101.25x = 200,126.25 × 200,126.25
  4. Step 4: Simplify right side
    153,101.25x = 40,050,515,939.06
  5. Step 5: Solve for x
    x = 40,050,515,939.06/153,101.25
  6. Step 6: Final answer
    x = 261,594.96

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.