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Finding the Third Proportional to 128,109.75 and 272,851.50

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Solution

The third proportional to 128,109.75 and 272,851.50 is: 581,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,109.75 : 272,851.50 = 272,851.50 : x
  2. Step 2: Convert to fraction form
    128,109.75/272,851.50 = 272,851.50/x
  3. Step 3: Cross multiply
    128,109.75x = 272,851.50 × 272,851.50
  4. Step 4: Simplify right side
    128,109.75x = 74,447,941,052.25
  5. Step 5: Solve for x
    x = 74,447,941,052.25/128,109.75
  6. Step 6: Final answer
    x = 581,126.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.