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Finding the Third Proportional to 71,526 and 108,210

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Solution

The third proportional to 71,526 and 108,210 is: 163,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,526 : 108,210 = 108,210 : x
  2. Step 2: Convert to fraction form
    71,526/108,210 = 108,210/x
  3. Step 3: Cross multiply
    71,526x = 108,210 × 108,210
  4. Step 4: Simplify right side
    71,526x = 11,709,404,100
  5. Step 5: Solve for x
    x = 11,709,404,100/71,526
  6. Step 6: Final answer
    x = 163,708.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.