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Finding the Third Proportional to 53,730.84 and 115,387.03

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Solution

The third proportional to 53,730.84 and 115,387.03 is: 247,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,730.84 : 115,387.03 = 115,387.03 : x
  2. Step 2: Convert to fraction form
    53,730.84/115,387.03 = 115,387.03/x
  3. Step 3: Cross multiply
    53,730.84x = 115,387.03 × 115,387.03
  4. Step 4: Simplify right side
    53,730.84x = 13,314,166,980.69
  5. Step 5: Solve for x
    x = 13,314,166,980.69/53,730.84
  6. Step 6: Final answer
    x = 247,793.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.