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Finding the Third Proportional to 103,609.88 and 160,472.25

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Solution

The third proportional to 103,609.88 and 160,472.25 is: 248,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,609.88 : 160,472.25 = 160,472.25 : x
  2. Step 2: Convert to fraction form
    103,609.88/160,472.25 = 160,472.25/x
  3. Step 3: Cross multiply
    103,609.88x = 160,472.25 × 160,472.25
  4. Step 4: Simplify right side
    103,609.88x = 25,751,343,020.06
  5. Step 5: Solve for x
    x = 25,751,343,020.06/103,609.88
  6. Step 6: Final answer
    x = 248,541.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.