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Finding the Third Proportional to 44,742 and 97,476

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Solution

The third proportional to 44,742 and 97,476 is: 212,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,742 : 97,476 = 97,476 : x
  2. Step 2: Convert to fraction form
    44,742/97,476 = 97,476/x
  3. Step 3: Cross multiply
    44,742x = 97,476 × 97,476
  4. Step 4: Simplify right side
    44,742x = 9,501,570,576
  5. Step 5: Solve for x
    x = 9,501,570,576/44,742
  6. Step 6: Final answer
    x = 212,363.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.