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Finding the Third Proportional to 97,536 and 146,256

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Solution

The third proportional to 97,536 and 146,256 is: 219,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,536 : 146,256 = 146,256 : x
  2. Step 2: Convert to fraction form
    97,536/146,256 = 146,256/x
  3. Step 3: Cross multiply
    97,536x = 146,256 × 146,256
  4. Step 4: Simplify right side
    97,536x = 21,390,817,536
  5. Step 5: Solve for x
    x = 21,390,817,536/97,536
  6. Step 6: Final answer
    x = 219,312.02

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