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Finding the Third Proportional to 103,506.19 and 155,773.13

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Solution

The third proportional to 103,506.19 and 155,773.13 is: 234,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,506.19 : 155,773.13 = 155,773.13 : x
  2. Step 2: Convert to fraction form
    103,506.19/155,773.13 = 155,773.13/x
  3. Step 3: Cross multiply
    103,506.19x = 155,773.13 × 155,773.13
  4. Step 4: Simplify right side
    103,506.19x = 24,265,266,472.27
  5. Step 5: Solve for x
    x = 24,265,266,472.27/103,506.19
  6. Step 6: Final answer
    x = 234,433.00

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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.