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Finding the Third Proportional to 29,271 and 63,159

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Solution

The third proportional to 29,271 and 63,159 is: 136,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,271 : 63,159 = 63,159 : x
  2. Step 2: Convert to fraction form
    29,271/63,159 = 63,159/x
  3. Step 3: Cross multiply
    29,271x = 63,159 × 63,159
  4. Step 4: Simplify right side
    29,271x = 3,989,059,281
  5. Step 5: Solve for x
    x = 3,989,059,281/29,271
  6. Step 6: Final answer
    x = 136,280.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.