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Finding the Third Proportional to 62,598 and 134,102

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Solution

The third proportional to 62,598 and 134,102 is: 287,283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,598 : 134,102 = 134,102 : x
  2. Step 2: Convert to fraction form
    62,598/134,102 = 134,102/x
  3. Step 3: Cross multiply
    62,598x = 134,102 × 134,102
  4. Step 4: Simplify right side
    62,598x = 17,983,346,404
  5. Step 5: Solve for x
    x = 17,983,346,404/62,598
  6. Step 6: Final answer
    x = 287,283.08

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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.