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Finding the Third Proportional to 85,116 and 125,320.50

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Solution

The third proportional to 85,116 and 125,320.50 is: 184,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,116 : 125,320.50 = 125,320.50 : x
  2. Step 2: Convert to fraction form
    85,116/125,320.50 = 125,320.50/x
  3. Step 3: Cross multiply
    85,116x = 125,320.50 × 125,320.50
  4. Step 4: Simplify right side
    85,116x = 15,705,227,720.25
  5. Step 5: Solve for x
    x = 15,705,227,720.25/85,116
  6. Step 6: Final answer
    x = 184,515.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.