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Finding the Third Proportional to 103,516 and 158,292

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Solution

The third proportional to 103,516 and 158,292 is: 242,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,516 : 158,292 = 158,292 : x
  2. Step 2: Convert to fraction form
    103,516/158,292 = 158,292/x
  3. Step 3: Cross multiply
    103,516x = 158,292 × 158,292
  4. Step 4: Simplify right side
    103,516x = 25,056,357,264
  5. Step 5: Solve for x
    x = 25,056,357,264/103,516
  6. Step 6: Final answer
    x = 242,052.99

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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.