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Finding the Third Proportional to 132,089 and 257,563

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Solution

The third proportional to 132,089 and 257,563 is: 502,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,089 : 257,563 = 257,563 : x
  2. Step 2: Convert to fraction form
    132,089/257,563 = 257,563/x
  3. Step 3: Cross multiply
    132,089x = 257,563 × 257,563
  4. Step 4: Simplify right side
    132,089x = 66,338,698,969
  5. Step 5: Solve for x
    x = 66,338,698,969/132,089
  6. Step 6: Final answer
    x = 502,227.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.