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Finding the Third Proportional to 99,636 and 148,042.50

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Solution

The third proportional to 99,636 and 148,042.50 is: 219,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,636 : 148,042.50 = 148,042.50 : x
  2. Step 2: Convert to fraction form
    99,636/148,042.50 = 148,042.50/x
  3. Step 3: Cross multiply
    99,636x = 148,042.50 × 148,042.50
  4. Step 4: Simplify right side
    99,636x = 21,916,581,806.25
  5. Step 5: Solve for x
    x = 21,916,581,806.25/99,636
  6. Step 6: Final answer
    x = 219,966.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.