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Finding the Third Proportional to 53,712 and 116,652

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Solution

The third proportional to 53,712 and 116,652 is: 253,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,712 : 116,652 = 116,652 : x
  2. Step 2: Convert to fraction form
    53,712/116,652 = 116,652/x
  3. Step 3: Cross multiply
    53,712x = 116,652 × 116,652
  4. Step 4: Simplify right side
    53,712x = 13,607,689,104
  5. Step 5: Solve for x
    x = 13,607,689,104/53,712
  6. Step 6: Final answer
    x = 253,345.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.