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Finding the Third Proportional to 97,334 and 147,828

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Solution

The third proportional to 97,334 and 147,828 is: 224,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,334 : 147,828 = 147,828 : x
  2. Step 2: Convert to fraction form
    97,334/147,828 = 147,828/x
  3. Step 3: Cross multiply
    97,334x = 147,828 × 147,828
  4. Step 4: Simplify right side
    97,334x = 21,853,117,584
  5. Step 5: Solve for x
    x = 21,853,117,584/97,334
  6. Step 6: Final answer
    x = 224,516.79

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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.