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Finding the Third Proportional to 71,322 and 102,798

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Solution

The third proportional to 71,322 and 102,798 is: 148,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,322 : 102,798 = 102,798 : x
  2. Step 2: Convert to fraction form
    71,322/102,798 = 102,798/x
  3. Step 3: Cross multiply
    71,322x = 102,798 × 102,798
  4. Step 4: Simplify right side
    71,322x = 10,567,428,804
  5. Step 5: Solve for x
    x = 10,567,428,804/71,322
  6. Step 6: Final answer
    x = 148,165.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.