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Finding the Third Proportional to 64,734 and 87,460.50

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Solution

The third proportional to 64,734 and 87,460.50 is: 118,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,734 : 87,460.50 = 87,460.50 : x
  2. Step 2: Convert to fraction form
    64,734/87,460.50 = 87,460.50/x
  3. Step 3: Cross multiply
    64,734x = 87,460.50 × 87,460.50
  4. Step 4: Simplify right side
    64,734x = 7,649,339,060.25
  5. Step 5: Solve for x
    x = 7,649,339,060.25/64,734
  6. Step 6: Final answer
    x = 118,165.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.