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Finding the Third Proportional to 128,810.25 and 189,347.63

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Solution

The third proportional to 128,810.25 and 189,347.63 is: 278,335.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,810.25 : 189,347.63 = 189,347.63 : x
  2. Step 2: Convert to fraction form
    128,810.25/189,347.63 = 189,347.63/x
  3. Step 3: Cross multiply
    128,810.25x = 189,347.63 × 189,347.63
  4. Step 4: Simplify right side
    128,810.25x = 35,852,523,093.14
  5. Step 5: Solve for x
    x = 35,852,523,093.14/128,810.25
  6. Step 6: Final answer
    x = 278,335.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.