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Finding the Third Proportional to 60,311.25 and 130,828.50

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Solution

The third proportional to 60,311.25 and 130,828.50 is: 283,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,311.25 : 130,828.50 = 130,828.50 : x
  2. Step 2: Convert to fraction form
    60,311.25/130,828.50 = 130,828.50/x
  3. Step 3: Cross multiply
    60,311.25x = 130,828.50 × 130,828.50
  4. Step 4: Simplify right side
    60,311.25x = 17,116,096,412.25
  5. Step 5: Solve for x
    x = 17,116,096,412.25/60,311.25
  6. Step 6: Final answer
    x = 283,796.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.