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Finding the Third Proportional to 64,500 and 99,625.50

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Solution

The third proportional to 64,500 and 99,625.50 is: 153,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,500 : 99,625.50 = 99,625.50 : x
  2. Step 2: Convert to fraction form
    64,500/99,625.50 = 99,625.50/x
  3. Step 3: Cross multiply
    64,500x = 99,625.50 × 99,625.50
  4. Step 4: Simplify right side
    64,500x = 9,925,240,250.25
  5. Step 5: Solve for x
    x = 9,925,240,250.25/64,500
  6. Step 6: Final answer
    x = 153,879.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.