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Finding the Third Proportional to 65,101.50 and 142,710.75

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Solution

The third proportional to 65,101.50 and 142,710.75 is: 312,840.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,101.50 : 142,710.75 = 142,710.75 : x
  2. Step 2: Convert to fraction form
    65,101.50/142,710.75 = 142,710.75/x
  3. Step 3: Cross multiply
    65,101.50x = 142,710.75 × 142,710.75
  4. Step 4: Simplify right side
    65,101.50x = 20,366,358,165.56
  5. Step 5: Solve for x
    x = 20,366,358,165.56/65,101.50
  6. Step 6: Final answer
    x = 312,840.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.