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Finding the Third Proportional to 96,577.50 and 153,674.25

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Solution

The third proportional to 96,577.50 and 153,674.25 is: 244,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,577.50 : 153,674.25 = 153,674.25 : x
  2. Step 2: Convert to fraction form
    96,577.50/153,674.25 = 153,674.25/x
  3. Step 3: Cross multiply
    96,577.50x = 153,674.25 × 153,674.25
  4. Step 4: Simplify right side
    96,577.50x = 23,615,775,113.06
  5. Step 5: Solve for x
    x = 23,615,775,113.06/96,577.50
  6. Step 6: Final answer
    x = 244,526.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.