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Finding the Third Proportional to 64,767.47 and 152,672.81

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Solution

The third proportional to 64,767.47 and 152,672.81 is: 359,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,767.47 : 152,672.81 = 152,672.81 : x
  2. Step 2: Convert to fraction form
    64,767.47/152,672.81 = 152,672.81/x
  3. Step 3: Cross multiply
    64,767.47x = 152,672.81 × 152,672.81
  4. Step 4: Simplify right side
    64,767.47x = 23,308,987,676.66
  5. Step 5: Solve for x
    x = 23,308,987,676.66/64,767.47
  6. Step 6: Final answer
    x = 359,887.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.