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Finding the Third Proportional to 65,038.50 and 99,924.75

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Solution

The third proportional to 65,038.50 and 99,924.75 is: 153,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.50 : 99,924.75 = 99,924.75 : x
  2. Step 2: Convert to fraction form
    65,038.50/99,924.75 = 99,924.75/x
  3. Step 3: Cross multiply
    65,038.50x = 99,924.75 × 99,924.75
  4. Step 4: Simplify right side
    65,038.50x = 9,984,955,662.56
  5. Step 5: Solve for x
    x = 9,984,955,662.56/65,038.50
  6. Step 6: Final answer
    x = 153,523.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.