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Finding the Third Proportional to 103,352 and 155,028

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Solution

The third proportional to 103,352 and 155,028 is: 232,542

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,352 : 155,028 = 155,028 : x
  2. Step 2: Convert to fraction form
    103,352/155,028 = 155,028/x
  3. Step 3: Cross multiply
    103,352x = 155,028 × 155,028
  4. Step 4: Simplify right side
    103,352x = 24,033,680,784
  5. Step 5: Solve for x
    x = 24,033,680,784/103,352
  6. Step 6: Final answer
    x = 232,542

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.