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Finding the Third Proportional to 46,938 and 102,501

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Solution

The third proportional to 46,938 and 102,501 is: 223,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,938 : 102,501 = 102,501 : x
  2. Step 2: Convert to fraction form
    46,938/102,501 = 102,501/x
  3. Step 3: Cross multiply
    46,938x = 102,501 × 102,501
  4. Step 4: Simplify right side
    46,938x = 10,506,455,001
  5. Step 5: Solve for x
    x = 10,506,455,001/46,938
  6. Step 6: Final answer
    x = 223,836.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.