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Finding the Third Proportional to 57,140 and 83,476

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Solution

The third proportional to 57,140 and 83,476 is: 121,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,140 : 83,476 = 83,476 : x
  2. Step 2: Convert to fraction form
    57,140/83,476 = 83,476/x
  3. Step 3: Cross multiply
    57,140x = 83,476 × 83,476
  4. Step 4: Simplify right side
    57,140x = 6,968,242,576
  5. Step 5: Solve for x
    x = 6,968,242,576/57,140
  6. Step 6: Final answer
    x = 121,950.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.