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Finding the Third Proportional to 102,557 and 155,201

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Solution

The third proportional to 102,557 and 155,201 is: 234,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,557 : 155,201 = 155,201 : x
  2. Step 2: Convert to fraction form
    102,557/155,201 = 155,201/x
  3. Step 3: Cross multiply
    102,557x = 155,201 × 155,201
  4. Step 4: Simplify right side
    102,557x = 24,087,350,401
  5. Step 5: Solve for x
    x = 24,087,350,401/102,557
  6. Step 6: Final answer
    x = 234,867.93

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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.