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Finding the Third Proportional to 103,915.13 and 167,347.13

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Solution

The third proportional to 103,915.13 and 167,347.13 is: 269,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,915.13 : 167,347.13 = 167,347.13 : x
  2. Step 2: Convert to fraction form
    103,915.13/167,347.13 = 167,347.13/x
  3. Step 3: Cross multiply
    103,915.13x = 167,347.13 × 167,347.13
  4. Step 4: Simplify right side
    103,915.13x = 28,005,060,245.77
  5. Step 5: Solve for x
    x = 28,005,060,245.77/103,915.13
  6. Step 6: Final answer
    x = 269,499.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.