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Finding the Third Proportional to 46,748 and 100,138

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Solution

The third proportional to 46,748 and 100,138 is: 214,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,748 : 100,138 = 100,138 : x
  2. Step 2: Convert to fraction form
    46,748/100,138 = 100,138/x
  3. Step 3: Cross multiply
    46,748x = 100,138 × 100,138
  4. Step 4: Simplify right side
    46,748x = 10,027,619,044
  5. Step 5: Solve for x
    x = 10,027,619,044/46,748
  6. Step 6: Final answer
    x = 214,503.70

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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.