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Finding the Third Proportional to 29,300 and 63,164

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Solution

The third proportional to 29,300 and 63,164 is: 136,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,300 : 63,164 = 63,164 : x
  2. Step 2: Convert to fraction form
    29,300/63,164 = 63,164/x
  3. Step 3: Cross multiply
    29,300x = 63,164 × 63,164
  4. Step 4: Simplify right side
    29,300x = 3,989,690,896
  5. Step 5: Solve for x
    x = 3,989,690,896/29,300
  6. Step 6: Final answer
    x = 136,166.92

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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.