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Finding the Third Proportional to 53,006.25 and 115,214.25

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Solution

The third proportional to 53,006.25 and 115,214.25 is: 250,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,006.25 : 115,214.25 = 115,214.25 : x
  2. Step 2: Convert to fraction form
    53,006.25/115,214.25 = 115,214.25/x
  3. Step 3: Cross multiply
    53,006.25x = 115,214.25 × 115,214.25
  4. Step 4: Simplify right side
    53,006.25x = 13,274,323,403.06
  5. Step 5: Solve for x
    x = 13,274,323,403.06/53,006.25
  6. Step 6: Final answer
    x = 250,429.40

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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.