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Finding the Third Proportional to 56,133 and 85,171.50

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Solution

The third proportional to 56,133 and 85,171.50 is: 129,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,133 : 85,171.50 = 85,171.50 : x
  2. Step 2: Convert to fraction form
    56,133/85,171.50 = 85,171.50/x
  3. Step 3: Cross multiply
    56,133x = 85,171.50 × 85,171.50
  4. Step 4: Simplify right side
    56,133x = 7,254,184,412.25
  5. Step 5: Solve for x
    x = 7,254,184,412.25/56,133
  6. Step 6: Final answer
    x = 129,232.08

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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.