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Finding the Third Proportional to 61,271.75 and 96,281.75

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Solution

The third proportional to 61,271.75 and 96,281.75 is: 151,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,271.75 : 96,281.75 = 96,281.75 : x
  2. Step 2: Convert to fraction form
    61,271.75/96,281.75 = 96,281.75/x
  3. Step 3: Cross multiply
    61,271.75x = 96,281.75 × 96,281.75
  4. Step 4: Simplify right side
    61,271.75x = 9,270,175,383.06
  5. Step 5: Solve for x
    x = 9,270,175,383.06/61,271.75
  6. Step 6: Final answer
    x = 151,296.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.