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Finding the Third Proportional to 105,754.50 and 238,140

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Solution

The third proportional to 105,754.50 and 238,140 is: 536,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,754.50 : 238,140 = 238,140 : x
  2. Step 2: Convert to fraction form
    105,754.50/238,140 = 238,140/x
  3. Step 3: Cross multiply
    105,754.50x = 238,140 × 238,140
  4. Step 4: Simplify right side
    105,754.50x = 56,710,659,600
  5. Step 5: Solve for x
    x = 56,710,659,600/105,754.50
  6. Step 6: Final answer
    x = 536,248.19

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.