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Finding the Third Proportional to 102,835.13 and 155,346.19

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Solution

The third proportional to 102,835.13 and 155,346.19 is: 234,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,835.13 : 155,346.19 = 155,346.19 : x
  2. Step 2: Convert to fraction form
    102,835.13/155,346.19 = 155,346.19/x
  3. Step 3: Cross multiply
    102,835.13x = 155,346.19 × 155,346.19
  4. Step 4: Simplify right side
    102,835.13x = 24,132,437,970.79
  5. Step 5: Solve for x
    x = 24,132,437,970.79/102,835.13
  6. Step 6: Final answer
    x = 234,671.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.