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Finding the Third Proportional to 64,735.88 and 103,051.41

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Solution

The third proportional to 64,735.88 and 103,051.41 is: 164,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,735.88 : 103,051.41 = 103,051.41 : x
  2. Step 2: Convert to fraction form
    64,735.88/103,051.41 = 103,051.41/x
  3. Step 3: Cross multiply
    64,735.88x = 103,051.41 × 103,051.41
  4. Step 4: Simplify right side
    64,735.88x = 10,619,592,330.10
  5. Step 5: Solve for x
    x = 10,619,592,330.10/64,735.88
  6. Step 6: Final answer
    x = 164,044.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.