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Finding the Third Proportional to 103,637 and 155,840

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Solution

The third proportional to 103,637 and 155,840 is: 234,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,637 : 155,840 = 155,840 : x
  2. Step 2: Convert to fraction form
    103,637/155,840 = 155,840/x
  3. Step 3: Cross multiply
    103,637x = 155,840 × 155,840
  4. Step 4: Simplify right side
    103,637x = 24,286,105,600
  5. Step 5: Solve for x
    x = 24,286,105,600/103,637
  6. Step 6: Final answer
    x = 234,338.18

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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.