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Finding the Third Proportional to 64,570.43 and 96,920.51

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Solution

The third proportional to 64,570.43 and 96,920.51 is: 145,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,570.43 : 96,920.51 = 96,920.51 : x
  2. Step 2: Convert to fraction form
    64,570.43/96,920.51 = 96,920.51/x
  3. Step 3: Cross multiply
    64,570.43x = 96,920.51 × 96,920.51
  4. Step 4: Simplify right side
    64,570.43x = 9,393,586,112.39
  5. Step 5: Solve for x
    x = 9,393,586,112.39/64,570.43
  6. Step 6: Final answer
    x = 145,478.15

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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.