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Finding the Third Proportional to 64,488 and 86,007.50

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Solution

The third proportional to 64,488 and 86,007.50 is: 114,708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,488 : 86,007.50 = 86,007.50 : x
  2. Step 2: Convert to fraction form
    64,488/86,007.50 = 86,007.50/x
  3. Step 3: Cross multiply
    64,488x = 86,007.50 × 86,007.50
  4. Step 4: Simplify right side
    64,488x = 7,397,290,056.25
  5. Step 5: Solve for x
    x = 7,397,290,056.25/64,488
  6. Step 6: Final answer
    x = 114,708.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.