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Finding the Third Proportional to 104,042.50 and 157,158

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Solution

The third proportional to 104,042.50 and 157,158 is: 237,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,042.50 : 157,158 = 157,158 : x
  2. Step 2: Convert to fraction form
    104,042.50/157,158 = 157,158/x
  3. Step 3: Cross multiply
    104,042.50x = 157,158 × 157,158
  4. Step 4: Simplify right side
    104,042.50x = 24,698,636,964
  5. Step 5: Solve for x
    x = 24,698,636,964/104,042.50
  6. Step 6: Final answer
    x = 237,389.88

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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.