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Finding the Third Proportional to 71,499 and 106,029

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Solution

The third proportional to 71,499 and 106,029 is: 157,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,499 : 106,029 = 106,029 : x
  2. Step 2: Convert to fraction form
    71,499/106,029 = 106,029/x
  3. Step 3: Cross multiply
    71,499x = 106,029 × 106,029
  4. Step 4: Simplify right side
    71,499x = 11,242,148,841
  5. Step 5: Solve for x
    x = 11,242,148,841/71,499
  6. Step 6: Final answer
    x = 157,235.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.