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Finding the Third Proportional to 56,781 and 86,548.50

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Solution

The third proportional to 56,781 and 86,548.50 is: 131,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,781 : 86,548.50 = 86,548.50 : x
  2. Step 2: Convert to fraction form
    56,781/86,548.50 = 86,548.50/x
  3. Step 3: Cross multiply
    56,781x = 86,548.50 × 86,548.50
  4. Step 4: Simplify right side
    56,781x = 7,490,642,852.25
  5. Step 5: Solve for x
    x = 7,490,642,852.25/56,781
  6. Step 6: Final answer
    x = 131,921.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.