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Finding the Third Proportional to 64,828.50 and 100,009.50

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Solution

The third proportional to 64,828.50 and 100,009.50 is: 154,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,828.50 : 100,009.50 = 100,009.50 : x
  2. Step 2: Convert to fraction form
    64,828.50/100,009.50 = 100,009.50/x
  3. Step 3: Cross multiply
    64,828.50x = 100,009.50 × 100,009.50
  4. Step 4: Simplify right side
    64,828.50x = 10,001,900,090.25
  5. Step 5: Solve for x
    x = 10,001,900,090.25/64,828.50
  6. Step 6: Final answer
    x = 154,282.45

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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.