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Finding the Third Proportional to 95,962.50 and 146,876.63

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Solution

The third proportional to 95,962.50 and 146,876.63 is: 224,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,962.50 : 146,876.63 = 146,876.63 : x
  2. Step 2: Convert to fraction form
    95,962.50/146,876.63 = 146,876.63/x
  3. Step 3: Cross multiply
    95,962.50x = 146,876.63 × 146,876.63
  4. Step 4: Simplify right side
    95,962.50x = 21,572,742,971.39
  5. Step 5: Solve for x
    x = 21,572,742,971.39/95,962.50
  6. Step 6: Final answer
    x = 224,803.89

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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.