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Finding the Third Proportional to 97,096 and 146,535

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Solution

The third proportional to 97,096 and 146,535 is: 221,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,096 : 146,535 = 146,535 : x
  2. Step 2: Convert to fraction form
    97,096/146,535 = 146,535/x
  3. Step 3: Cross multiply
    97,096x = 146,535 × 146,535
  4. Step 4: Simplify right side
    97,096x = 21,472,506,225
  5. Step 5: Solve for x
    x = 21,472,506,225/97,096
  6. Step 6: Final answer
    x = 221,147.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.