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Finding the Third Proportional to 29,290 and 64,222

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Solution

The third proportional to 29,290 and 64,222 is: 140,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,290 : 64,222 = 64,222 : x
  2. Step 2: Convert to fraction form
    29,290/64,222 = 64,222/x
  3. Step 3: Cross multiply
    29,290x = 64,222 × 64,222
  4. Step 4: Simplify right side
    29,290x = 4,124,465,284
  5. Step 5: Solve for x
    x = 4,124,465,284/29,290
  6. Step 6: Final answer
    x = 140,814.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.