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Finding the Third Proportional to 42,837.75 and 93,026.25

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Solution

The third proportional to 42,837.75 and 93,026.25 is: 202,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,837.75 : 93,026.25 = 93,026.25 : x
  2. Step 2: Convert to fraction form
    42,837.75/93,026.25 = 93,026.25/x
  3. Step 3: Cross multiply
    42,837.75x = 93,026.25 × 93,026.25
  4. Step 4: Simplify right side
    42,837.75x = 8,653,883,189.06
  5. Step 5: Solve for x
    x = 8,653,883,189.06/42,837.75
  6. Step 6: Final answer
    x = 202,015.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.