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Finding the Third Proportional to 48,509.72 and 106,036.59

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Solution

The third proportional to 48,509.72 and 106,036.59 is: 231,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,509.72 : 106,036.59 = 106,036.59 : x
  2. Step 2: Convert to fraction form
    48,509.72/106,036.59 = 106,036.59/x
  3. Step 3: Cross multiply
    48,509.72x = 106,036.59 × 106,036.59
  4. Step 4: Simplify right side
    48,509.72x = 11,243,759,214.10
  5. Step 5: Solve for x
    x = 11,243,759,214.10/48,509.72
  6. Step 6: Final answer
    x = 231,783.64

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Why These Related Problems?

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