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Finding the Third Proportional to 119,681.25 and 177,210.75

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Solution

The third proportional to 119,681.25 and 177,210.75 is: 262,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,681.25 : 177,210.75 = 177,210.75 : x
  2. Step 2: Convert to fraction form
    119,681.25/177,210.75 = 177,210.75/x
  3. Step 3: Cross multiply
    119,681.25x = 177,210.75 × 177,210.75
  4. Step 4: Simplify right side
    119,681.25x = 31,403,649,915.56
  5. Step 5: Solve for x
    x = 31,403,649,915.56/119,681.25
  6. Step 6: Final answer
    x = 262,394.07

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.