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Finding the Third Proportional to 103,654 and 158,485

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Solution

The third proportional to 103,654 and 158,485 is: 242,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,654 : 158,485 = 158,485 : x
  2. Step 2: Convert to fraction form
    103,654/158,485 = 158,485/x
  3. Step 3: Cross multiply
    103,654x = 158,485 × 158,485
  4. Step 4: Simplify right side
    103,654x = 25,117,495,225
  5. Step 5: Solve for x
    x = 25,117,495,225/103,654
  6. Step 6: Final answer
    x = 242,320.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.