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Finding the Third Proportional to 102,564 and 155,213

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Solution

The third proportional to 102,564 and 155,213 is: 234,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564 : 155,213 = 155,213 : x
  2. Step 2: Convert to fraction form
    102,564/155,213 = 155,213/x
  3. Step 3: Cross multiply
    102,564x = 155,213 × 155,213
  4. Step 4: Simplify right side
    102,564x = 24,091,075,369
  5. Step 5: Solve for x
    x = 24,091,075,369/102,564
  6. Step 6: Final answer
    x = 234,888.22

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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.