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Finding the Third Proportional to 103,842.50 and 155,591

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Solution

The third proportional to 103,842.50 and 155,591 is: 233,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,842.50 : 155,591 = 155,591 : x
  2. Step 2: Convert to fraction form
    103,842.50/155,591 = 155,591/x
  3. Step 3: Cross multiply
    103,842.50x = 155,591 × 155,591
  4. Step 4: Simplify right side
    103,842.50x = 24,208,559,281
  5. Step 5: Solve for x
    x = 24,208,559,281/103,842.50
  6. Step 6: Final answer
    x = 233,127.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.