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Finding the Third Proportional to 60,822.14 and 130,634.65

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Solution

The third proportional to 60,822.14 and 130,634.65 is: 280,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,822.14 : 130,634.65 = 130,634.65 : x
  2. Step 2: Convert to fraction form
    60,822.14/130,634.65 = 130,634.65/x
  3. Step 3: Cross multiply
    60,822.14x = 130,634.65 × 130,634.65
  4. Step 4: Simplify right side
    60,822.14x = 17,065,411,372.39
  5. Step 5: Solve for x
    x = 17,065,411,372.39/60,822.14
  6. Step 6: Final answer
    x = 280,578.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.