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Finding the Third Proportional to 55,851.19 and 78,127.03

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Solution

The third proportional to 55,851.19 and 78,127.03 is: 109,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,851.19 : 78,127.03 = 78,127.03 : x
  2. Step 2: Convert to fraction form
    55,851.19/78,127.03 = 78,127.03/x
  3. Step 3: Cross multiply
    55,851.19x = 78,127.03 × 78,127.03
  4. Step 4: Simplify right side
    55,851.19x = 6,103,833,011.94
  5. Step 5: Solve for x
    x = 6,103,833,011.94/55,851.19
  6. Step 6: Final answer
    x = 109,287.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.