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Finding the Third Proportional to 106,477.50 and 163,659

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Solution

The third proportional to 106,477.50 and 163,659 is: 251,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,477.50 : 163,659 = 163,659 : x
  2. Step 2: Convert to fraction form
    106,477.50/163,659 = 163,659/x
  3. Step 3: Cross multiply
    106,477.50x = 163,659 × 163,659
  4. Step 4: Simplify right side
    106,477.50x = 26,784,268,281
  5. Step 5: Solve for x
    x = 26,784,268,281/106,477.50
  6. Step 6: Final answer
    x = 251,548.62

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Why These Related Problems?

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