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Finding the Third Proportional to 61,632.56 and 92,448.84

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Solution

The third proportional to 61,632.56 and 92,448.84 is: 138,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,632.56 : 92,448.84 = 92,448.84 : x
  2. Step 2: Convert to fraction form
    61,632.56/92,448.84 = 92,448.84/x
  3. Step 3: Cross multiply
    61,632.56x = 92,448.84 × 92,448.84
  4. Step 4: Simplify right side
    61,632.56x = 8,546,788,710.71
  5. Step 5: Solve for x
    x = 8,546,788,710.71/61,632.56
  6. Step 6: Final answer
    x = 138,673.27

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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.