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Finding the Third Proportional to 102,535 and 155,169

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Solution

The third proportional to 102,535 and 155,169 is: 234,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,535 : 155,169 = 155,169 : x
  2. Step 2: Convert to fraction form
    102,535/155,169 = 155,169/x
  3. Step 3: Cross multiply
    102,535x = 155,169 × 155,169
  4. Step 4: Simplify right side
    102,535x = 24,077,418,561
  5. Step 5: Solve for x
    x = 24,077,418,561/102,535
  6. Step 6: Final answer
    x = 234,821.46

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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.