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Finding the Third Proportional to 56,684 and 83,298

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Solution

The third proportional to 56,684 and 83,298 is: 122,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,684 : 83,298 = 83,298 : x
  2. Step 2: Convert to fraction form
    56,684/83,298 = 83,298/x
  3. Step 3: Cross multiply
    56,684x = 83,298 × 83,298
  4. Step 4: Simplify right side
    56,684x = 6,938,556,804
  5. Step 5: Solve for x
    x = 6,938,556,804/56,684
  6. Step 6: Final answer
    x = 122,407.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.