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Finding the Third Proportional to 65,438.81 and 103,787.91

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Solution

The third proportional to 65,438.81 and 103,787.91 is: 164,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,438.81 : 103,787.91 = 103,787.91 : x
  2. Step 2: Convert to fraction form
    65,438.81/103,787.91 = 103,787.91/x
  3. Step 3: Cross multiply
    65,438.81x = 103,787.91 × 103,787.91
  4. Step 4: Simplify right side
    65,438.81x = 10,771,929,483.76
  5. Step 5: Solve for x
    x = 10,771,929,483.76/65,438.81
  6. Step 6: Final answer
    x = 164,610.71

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Why These Related Problems?

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