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Finding the Third Proportional to 42,954 and 88,854.50

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Solution

The third proportional to 42,954 and 88,854.50 is: 183,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,954 : 88,854.50 = 88,854.50 : x
  2. Step 2: Convert to fraction form
    42,954/88,854.50 = 88,854.50/x
  3. Step 3: Cross multiply
    42,954x = 88,854.50 × 88,854.50
  4. Step 4: Simplify right side
    42,954x = 7,895,122,170.25
  5. Step 5: Solve for x
    x = 7,895,122,170.25/42,954
  6. Step 6: Final answer
    x = 183,804.12

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.