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Finding the Third Proportional to 49,465 and 109,603

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Solution

The third proportional to 49,465 and 109,603 is: 242,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,465 : 109,603 = 109,603 : x
  2. Step 2: Convert to fraction form
    49,465/109,603 = 109,603/x
  3. Step 3: Cross multiply
    49,465x = 109,603 × 109,603
  4. Step 4: Simplify right side
    49,465x = 12,012,817,609
  5. Step 5: Solve for x
    x = 12,012,817,609/49,465
  6. Step 6: Final answer
    x = 242,854.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.