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Finding the Third Proportional to 54,306 and 77,814

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Solution

The third proportional to 54,306 and 77,814 is: 111,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,306 : 77,814 = 77,814 : x
  2. Step 2: Convert to fraction form
    54,306/77,814 = 77,814/x
  3. Step 3: Cross multiply
    54,306x = 77,814 × 77,814
  4. Step 4: Simplify right side
    54,306x = 6,055,018,596
  5. Step 5: Solve for x
    x = 6,055,018,596/54,306
  6. Step 6: Final answer
    x = 111,498.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.