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Finding the Third Proportional to 114,729 and 246,065

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Solution

The third proportional to 114,729 and 246,065 is: 527,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,729 : 246,065 = 246,065 : x
  2. Step 2: Convert to fraction form
    114,729/246,065 = 246,065/x
  3. Step 3: Cross multiply
    114,729x = 246,065 × 246,065
  4. Step 4: Simplify right side
    114,729x = 60,547,984,225
  5. Step 5: Solve for x
    x = 60,547,984,225/114,729
  6. Step 6: Final answer
    x = 527,747.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.