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Finding the Third Proportional to 53,153.25 and 79,970.25

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Solution

The third proportional to 53,153.25 and 79,970.25 is: 120,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,153.25 : 79,970.25 = 79,970.25 : x
  2. Step 2: Convert to fraction form
    53,153.25/79,970.25 = 79,970.25/x
  3. Step 3: Cross multiply
    53,153.25x = 79,970.25 × 79,970.25
  4. Step 4: Simplify right side
    53,153.25x = 6,395,240,885.06
  5. Step 5: Solve for x
    x = 6,395,240,885.06/53,153.25
  6. Step 6: Final answer
    x = 120,317.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.