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Finding the Third Proportional to 96,579 and 145,597.50

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Solution

The third proportional to 96,579 and 145,597.50 is: 219,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,579 : 145,597.50 = 145,597.50 : x
  2. Step 2: Convert to fraction form
    96,579/145,597.50 = 145,597.50/x
  3. Step 3: Cross multiply
    96,579x = 145,597.50 × 145,597.50
  4. Step 4: Simplify right side
    96,579x = 21,198,632,006.25
  5. Step 5: Solve for x
    x = 21,198,632,006.25/96,579
  6. Step 6: Final answer
    x = 219,495.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.