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Finding the Third Proportional to 99,780 and 146,751.75

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Solution

The third proportional to 99,780 and 146,751.75 is: 215,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,780 : 146,751.75 = 146,751.75 : x
  2. Step 2: Convert to fraction form
    99,780/146,751.75 = 146,751.75/x
  3. Step 3: Cross multiply
    99,780x = 146,751.75 × 146,751.75
  4. Step 4: Simplify right side
    99,780x = 21,536,076,128.06
  5. Step 5: Solve for x
    x = 21,536,076,128.06/99,780
  6. Step 6: Final answer
    x = 215,835.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.