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Finding the Third Proportional to 99,636 and 152,346

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Solution

The third proportional to 99,636 and 152,346 is: 232,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,636 : 152,346 = 152,346 : x
  2. Step 2: Convert to fraction form
    99,636/152,346 = 152,346/x
  3. Step 3: Cross multiply
    99,636x = 152,346 × 152,346
  4. Step 4: Simplify right side
    99,636x = 23,209,303,716
  5. Step 5: Solve for x
    x = 23,209,303,716/99,636
  6. Step 6: Final answer
    x = 232,940.94

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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.