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Finding the Third Proportional to 102,114 and 155,331

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Solution

The third proportional to 102,114 and 155,331 is: 236,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,114 : 155,331 = 155,331 : x
  2. Step 2: Convert to fraction form
    102,114/155,331 = 155,331/x
  3. Step 3: Cross multiply
    102,114x = 155,331 × 155,331
  4. Step 4: Simplify right side
    102,114x = 24,127,719,561
  5. Step 5: Solve for x
    x = 24,127,719,561/102,114
  6. Step 6: Final answer
    x = 236,282.19

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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.