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Finding the Third Proportional to 65,426.75 and 103,772

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Solution

The third proportional to 65,426.75 and 103,772 is: 164,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,426.75 : 103,772 = 103,772 : x
  2. Step 2: Convert to fraction form
    65,426.75/103,772 = 103,772/x
  3. Step 3: Cross multiply
    65,426.75x = 103,772 × 103,772
  4. Step 4: Simplify right side
    65,426.75x = 10,768,627,984
  5. Step 5: Solve for x
    x = 10,768,627,984/65,426.75
  6. Step 6: Final answer
    x = 164,590.60

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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.