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Finding the Third Proportional to 62,415 and 133,614

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Solution

The third proportional to 62,415 and 133,614 is: 286,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,415 : 133,614 = 133,614 : x
  2. Step 2: Convert to fraction form
    62,415/133,614 = 133,614/x
  3. Step 3: Cross multiply
    62,415x = 133,614 × 133,614
  4. Step 4: Simplify right side
    62,415x = 17,852,700,996
  5. Step 5: Solve for x
    x = 17,852,700,996/62,415
  6. Step 6: Final answer
    x = 286,032.22

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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.