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Finding the Third Proportional to 65,429 and 95,887.50

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Solution

The third proportional to 65,429 and 95,887.50 is: 140,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,429 : 95,887.50 = 95,887.50 : x
  2. Step 2: Convert to fraction form
    65,429/95,887.50 = 95,887.50/x
  3. Step 3: Cross multiply
    65,429x = 95,887.50 × 95,887.50
  4. Step 4: Simplify right side
    65,429x = 9,194,412,656.25
  5. Step 5: Solve for x
    x = 9,194,412,656.25/65,429
  6. Step 6: Final answer
    x = 140,525.04

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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.