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Finding the Third Proportional to 104,032.13 and 157,141.88

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Solution

The third proportional to 104,032.13 and 157,141.88 is: 237,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,032.13 : 157,141.88 = 157,141.88 : x
  2. Step 2: Convert to fraction form
    104,032.13/157,141.88 = 157,141.88/x
  3. Step 3: Cross multiply
    104,032.13x = 157,141.88 × 157,141.88
  4. Step 4: Simplify right side
    104,032.13x = 24,693,568,878.52
  5. Step 5: Solve for x
    x = 24,693,568,878.52/104,032.13
  6. Step 6: Final answer
    x = 237,364.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.