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Finding the Third Proportional to 29,267 and 65,102.50

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Solution

The third proportional to 29,267 and 65,102.50 is: 144,816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,267 : 65,102.50 = 65,102.50 : x
  2. Step 2: Convert to fraction form
    29,267/65,102.50 = 65,102.50/x
  3. Step 3: Cross multiply
    29,267x = 65,102.50 × 65,102.50
  4. Step 4: Simplify right side
    29,267x = 4,238,335,506.25
  5. Step 5: Solve for x
    x = 4,238,335,506.25/29,267
  6. Step 6: Final answer
    x = 144,816.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.