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Finding the Third Proportional to 57,559 and 117,970.50

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Solution

The third proportional to 57,559 and 117,970.50 is: 241,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,559 : 117,970.50 = 117,970.50 : x
  2. Step 2: Convert to fraction form
    57,559/117,970.50 = 117,970.50/x
  3. Step 3: Cross multiply
    57,559x = 117,970.50 × 117,970.50
  4. Step 4: Simplify right side
    57,559x = 13,917,038,870.25
  5. Step 5: Solve for x
    x = 13,917,038,870.25/57,559
  6. Step 6: Final answer
    x = 241,787.36

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.