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Finding the Third Proportional to 54,127.20 and 77,967.98

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Solution

The third proportional to 54,127.20 and 77,967.98 is: 112,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,127.20 : 77,967.98 = 77,967.98 : x
  2. Step 2: Convert to fraction form
    54,127.20/77,967.98 = 77,967.98/x
  3. Step 3: Cross multiply
    54,127.20x = 77,967.98 × 77,967.98
  4. Step 4: Simplify right side
    54,127.20x = 6,079,006,587.50
  5. Step 5: Solve for x
    x = 6,079,006,587.50/54,127.20
  6. Step 6: Final answer
    x = 112,309.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.