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Finding the Third Proportional to 53,041.50 and 115,448.63

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Solution

The third proportional to 53,041.50 and 115,448.63 is: 251,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,041.50 : 115,448.63 = 115,448.63 : x
  2. Step 2: Convert to fraction form
    53,041.50/115,448.63 = 115,448.63/x
  3. Step 3: Cross multiply
    53,041.50x = 115,448.63 × 115,448.63
  4. Step 4: Simplify right side
    53,041.50x = 13,328,385,014.39
  5. Step 5: Solve for x
    x = 13,328,385,014.39/53,041.50
  6. Step 6: Final answer
    x = 251,282.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.