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Finding the Third Proportional to 97,152 and 146,424

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Solution

The third proportional to 97,152 and 146,424 is: 220,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,152 : 146,424 = 146,424 : x
  2. Step 2: Convert to fraction form
    97,152/146,424 = 146,424/x
  3. Step 3: Cross multiply
    97,152x = 146,424 × 146,424
  4. Step 4: Simplify right side
    97,152x = 21,439,987,776
  5. Step 5: Solve for x
    x = 21,439,987,776/97,152
  6. Step 6: Final answer
    x = 220,684.99

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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.