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Finding the Third Proportional to 99,632 and 152,364

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Solution

The third proportional to 99,632 and 152,364 is: 233,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,632 : 152,364 = 152,364 : x
  2. Step 2: Convert to fraction form
    99,632/152,364 = 152,364/x
  3. Step 3: Cross multiply
    99,632x = 152,364 × 152,364
  4. Step 4: Simplify right side
    99,632x = 23,214,788,496
  5. Step 5: Solve for x
    x = 23,214,788,496/99,632
  6. Step 6: Final answer
    x = 233,005.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.