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Finding the Third Proportional to 49,386 and 107,202

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Solution

The third proportional to 49,386 and 107,202 is: 232,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,386 : 107,202 = 107,202 : x
  2. Step 2: Convert to fraction form
    49,386/107,202 = 107,202/x
  3. Step 3: Cross multiply
    49,386x = 107,202 × 107,202
  4. Step 4: Simplify right side
    49,386x = 11,492,268,804
  5. Step 5: Solve for x
    x = 11,492,268,804/49,386
  6. Step 6: Final answer
    x = 232,702.97

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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.