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Finding the Third Proportional to 62,218 and 134,804

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Solution

The third proportional to 62,218 and 134,804 is: 292,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,218 : 134,804 = 134,804 : x
  2. Step 2: Convert to fraction form
    62,218/134,804 = 134,804/x
  3. Step 3: Cross multiply
    62,218x = 134,804 × 134,804
  4. Step 4: Simplify right side
    62,218x = 18,172,118,416
  5. Step 5: Solve for x
    x = 18,172,118,416/62,218
  6. Step 6: Final answer
    x = 292,071.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.