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Finding the Third Proportional to 102,205.13 and 155,153.81

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Solution

The third proportional to 102,205.13 and 155,153.81 is: 235,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,205.13 : 155,153.81 = 155,153.81 : x
  2. Step 2: Convert to fraction form
    102,205.13/155,153.81 = 155,153.81/x
  3. Step 3: Cross multiply
    102,205.13x = 155,153.81 × 155,153.81
  4. Step 4: Simplify right side
    102,205.13x = 24,072,705,533.29
  5. Step 5: Solve for x
    x = 24,072,705,533.29/102,205.13
  6. Step 6: Final answer
    x = 235,533.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.