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Finding the Third Proportional to 105,011.25 and 158,276.25

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Solution

The third proportional to 105,011.25 and 158,276.25 is: 238,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,011.25 : 158,276.25 = 158,276.25 : x
  2. Step 2: Convert to fraction form
    105,011.25/158,276.25 = 158,276.25/x
  3. Step 3: Cross multiply
    105,011.25x = 158,276.25 × 158,276.25
  4. Step 4: Simplify right side
    105,011.25x = 25,051,371,314.06
  5. Step 5: Solve for x
    x = 25,051,371,314.06/105,011.25
  6. Step 6: Final answer
    x = 238,558.93

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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.