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Finding the Third Proportional to 55,346.50 and 86,476

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Solution

The third proportional to 55,346.50 and 86,476 is: 135,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,346.50 : 86,476 = 86,476 : x
  2. Step 2: Convert to fraction form
    55,346.50/86,476 = 86,476/x
  3. Step 3: Cross multiply
    55,346.50x = 86,476 × 86,476
  4. Step 4: Simplify right side
    55,346.50x = 7,478,098,576
  5. Step 5: Solve for x
    x = 7,478,098,576/55,346.50
  6. Step 6: Final answer
    x = 135,114.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.