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Finding the Third Proportional to 64,938.75 and 103,742.25

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Solution

The third proportional to 64,938.75 and 103,742.25 is: 165,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,938.75 : 103,742.25 = 103,742.25 : x
  2. Step 2: Convert to fraction form
    64,938.75/103,742.25 = 103,742.25/x
  3. Step 3: Cross multiply
    64,938.75x = 103,742.25 × 103,742.25
  4. Step 4: Simplify right side
    64,938.75x = 10,762,454,435.06
  5. Step 5: Solve for x
    x = 10,762,454,435.06/64,938.75
  6. Step 6: Final answer
    x = 165,732.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.