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Finding the Third Proportional to 53,283 and 79,558.50

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Solution

The third proportional to 53,283 and 79,558.50 is: 118,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,283 : 79,558.50 = 79,558.50 : x
  2. Step 2: Convert to fraction form
    53,283/79,558.50 = 79,558.50/x
  3. Step 3: Cross multiply
    53,283x = 79,558.50 × 79,558.50
  4. Step 4: Simplify right side
    53,283x = 6,329,554,922.25
  5. Step 5: Solve for x
    x = 6,329,554,922.25/53,283
  6. Step 6: Final answer
    x = 118,791.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.