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Finding the Third Proportional to 99,513.50 and 148,905

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Solution

The third proportional to 99,513.50 and 148,905 is: 222,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,513.50 : 148,905 = 148,905 : x
  2. Step 2: Convert to fraction form
    99,513.50/148,905 = 148,905/x
  3. Step 3: Cross multiply
    99,513.50x = 148,905 × 148,905
  4. Step 4: Simplify right side
    99,513.50x = 22,172,699,025
  5. Step 5: Solve for x
    x = 22,172,699,025/99,513.50
  6. Step 6: Final answer
    x = 222,810.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.