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Finding the Third Proportional to 102,388 and 155,013

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Solution

The third proportional to 102,388 and 155,013 is: 234,686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,388 : 155,013 = 155,013 : x
  2. Step 2: Convert to fraction form
    102,388/155,013 = 155,013/x
  3. Step 3: Cross multiply
    102,388x = 155,013 × 155,013
  4. Step 4: Simplify right side
    102,388x = 24,029,030,169
  5. Step 5: Solve for x
    x = 24,029,030,169/102,388
  6. Step 6: Final answer
    x = 234,686.00

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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.