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Finding the Third Proportional to 83,602 and 137,237

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Solution

The third proportional to 83,602 and 137,237 is: 225,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602 : 137,237 = 137,237 : x
  2. Step 2: Convert to fraction form
    83,602/137,237 = 137,237/x
  3. Step 3: Cross multiply
    83,602x = 137,237 × 137,237
  4. Step 4: Simplify right side
    83,602x = 18,833,994,169
  5. Step 5: Solve for x
    x = 18,833,994,169/83,602
  6. Step 6: Final answer
    x = 225,281.62

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.