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Finding the Third Proportional to 71,605 and 105,214

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Solution

The third proportional to 71,605 and 105,214 is: 154,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,605 : 105,214 = 105,214 : x
  2. Step 2: Convert to fraction form
    71,605/105,214 = 105,214/x
  3. Step 3: Cross multiply
    71,605x = 105,214 × 105,214
  4. Step 4: Simplify right side
    71,605x = 11,069,985,796
  5. Step 5: Solve for x
    x = 11,069,985,796/71,605
  6. Step 6: Final answer
    x = 154,597.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.