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Finding the Third Proportional to 92,005.88 and 144,023.06

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Solution

The third proportional to 92,005.88 and 144,023.06 is: 225,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,005.88 : 144,023.06 = 144,023.06 : x
  2. Step 2: Convert to fraction form
    92,005.88/144,023.06 = 144,023.06/x
  3. Step 3: Cross multiply
    92,005.88x = 144,023.06 × 144,023.06
  4. Step 4: Simplify right side
    92,005.88x = 20,742,642,531.88
  5. Step 5: Solve for x
    x = 20,742,642,531.88/92,005.88
  6. Step 6: Final answer
    x = 225,449.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.