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Finding the Third Proportional to 134,743.50 and 273,010.50

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Solution

The third proportional to 134,743.50 and 273,010.50 is: 553,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,743.50 : 273,010.50 = 273,010.50 : x
  2. Step 2: Convert to fraction form
    134,743.50/273,010.50 = 273,010.50/x
  3. Step 3: Cross multiply
    134,743.50x = 273,010.50 × 273,010.50
  4. Step 4: Simplify right side
    134,743.50x = 74,534,733,110.25
  5. Step 5: Solve for x
    x = 74,534,733,110.25/134,743.50
  6. Step 6: Final answer
    x = 553,160.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.