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Finding the Third Proportional to 54,187.50 and 130,534.50

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Solution

The third proportional to 54,187.50 and 130,534.50 is: 314,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,187.50 : 130,534.50 = 130,534.50 : x
  2. Step 2: Convert to fraction form
    54,187.50/130,534.50 = 130,534.50/x
  3. Step 3: Cross multiply
    54,187.50x = 130,534.50 × 130,534.50
  4. Step 4: Simplify right side
    54,187.50x = 17,039,255,690.25
  5. Step 5: Solve for x
    x = 17,039,255,690.25/54,187.50
  6. Step 6: Final answer
    x = 314,449.93

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.