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Finding the Third Proportional to 124,666 and 170,321

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Solution

The third proportional to 124,666 and 170,321 is: 232,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,666 : 170,321 = 170,321 : x
  2. Step 2: Convert to fraction form
    124,666/170,321 = 170,321/x
  3. Step 3: Cross multiply
    124,666x = 170,321 × 170,321
  4. Step 4: Simplify right side
    124,666x = 29,009,243,041
  5. Step 5: Solve for x
    x = 29,009,243,041/124,666
  6. Step 6: Final answer
    x = 232,695.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.