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Finding the Third Proportional to 102,428 and 155,073

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Solution

The third proportional to 102,428 and 155,073 is: 234,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,428 : 155,073 = 155,073 : x
  2. Step 2: Convert to fraction form
    102,428/155,073 = 155,073/x
  3. Step 3: Cross multiply
    102,428x = 155,073 × 155,073
  4. Step 4: Simplify right side
    102,428x = 24,047,635,329
  5. Step 5: Solve for x
    x = 24,047,635,329/102,428
  6. Step 6: Final answer
    x = 234,775.99

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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.