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Finding the Third Proportional to 97,432 and 155,154

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Solution

The third proportional to 97,432 and 155,154 is: 247,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,432 : 155,154 = 155,154 : x
  2. Step 2: Convert to fraction form
    97,432/155,154 = 155,154/x
  3. Step 3: Cross multiply
    97,432x = 155,154 × 155,154
  4. Step 4: Simplify right side
    97,432x = 24,072,763,716
  5. Step 5: Solve for x
    x = 24,072,763,716/97,432
  6. Step 6: Final answer
    x = 247,072.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.