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Finding the Third Proportional to 137,065.50 and 207,056.25

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Solution

The third proportional to 137,065.50 and 207,056.25 is: 312,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,065.50 : 207,056.25 = 207,056.25 : x
  2. Step 2: Convert to fraction form
    137,065.50/207,056.25 = 207,056.25/x
  3. Step 3: Cross multiply
    137,065.50x = 207,056.25 × 207,056.25
  4. Step 4: Simplify right side
    137,065.50x = 42,872,290,664.06
  5. Step 5: Solve for x
    x = 42,872,290,664.06/137,065.50
  6. Step 6: Final answer
    x = 312,786.88

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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.