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Finding the Third Proportional to 97,354 and 147,858

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Solution

The third proportional to 97,354 and 147,858 is: 224,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,354 : 147,858 = 147,858 : x
  2. Step 2: Convert to fraction form
    97,354/147,858 = 147,858/x
  3. Step 3: Cross multiply
    97,354x = 147,858 × 147,858
  4. Step 4: Simplify right side
    97,354x = 21,861,988,164
  5. Step 5: Solve for x
    x = 21,861,988,164/97,354
  6. Step 6: Final answer
    x = 224,561.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.