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Finding the Third Proportional to 105,057 and 157,693.08

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Solution

The third proportional to 105,057 and 157,693.08 is: 236,701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057 : 157,693.08 = 157,693.08 : x
  2. Step 2: Convert to fraction form
    105,057/157,693.08 = 157,693.08/x
  3. Step 3: Cross multiply
    105,057x = 157,693.08 × 157,693.08
  4. Step 4: Simplify right side
    105,057x = 24,867,106,888.54
  5. Step 5: Solve for x
    x = 24,867,106,888.54/105,057
  6. Step 6: Final answer
    x = 236,701.09

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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.