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Finding the Third Proportional to 46,708 and 102,500

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Solution

The third proportional to 46,708 and 102,500 is: 224,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,708 : 102,500 = 102,500 : x
  2. Step 2: Convert to fraction form
    46,708/102,500 = 102,500/x
  3. Step 3: Cross multiply
    46,708x = 102,500 × 102,500
  4. Step 4: Simplify right side
    46,708x = 10,506,250,000
  5. Step 5: Solve for x
    x = 10,506,250,000/46,708
  6. Step 6: Final answer
    x = 224,934.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.