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Finding the Third Proportional to 62,365.50 and 96,008.63

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Solution

The third proportional to 62,365.50 and 96,008.63 is: 147,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,365.50 : 96,008.63 = 96,008.63 : x
  2. Step 2: Convert to fraction form
    62,365.50/96,008.63 = 96,008.63/x
  3. Step 3: Cross multiply
    62,365.50x = 96,008.63 × 96,008.63
  4. Step 4: Simplify right side
    62,365.50x = 9,217,656,074.39
  5. Step 5: Solve for x
    x = 9,217,656,074.39/62,365.50
  6. Step 6: Final answer
    x = 147,800.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.