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Finding the Third Proportional to 63,072 and 94,871.25

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Solution

The third proportional to 63,072 and 94,871.25 is: 142,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,072 : 94,871.25 = 94,871.25 : x
  2. Step 2: Convert to fraction form
    63,072/94,871.25 = 94,871.25/x
  3. Step 3: Cross multiply
    63,072x = 94,871.25 × 94,871.25
  4. Step 4: Simplify right side
    63,072x = 9,000,554,076.56
  5. Step 5: Solve for x
    x = 9,000,554,076.56/63,072
  6. Step 6: Final answer
    x = 142,702.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.