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Finding the Third Proportional to 103,697 and 155,506

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Solution

The third proportional to 103,697 and 155,506 is: 233,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697 : 155,506 = 155,506 : x
  2. Step 2: Convert to fraction form
    103,697/155,506 = 155,506/x
  3. Step 3: Cross multiply
    103,697x = 155,506 × 155,506
  4. Step 4: Simplify right side
    103,697x = 24,182,116,036
  5. Step 5: Solve for x
    x = 24,182,116,036/103,697
  6. Step 6: Final answer
    x = 233,199.77

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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.