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Finding the Third Proportional to 29,216 and 63,200

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Solution

The third proportional to 29,216 and 63,200 is: 136,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,216 : 63,200 = 63,200 : x
  2. Step 2: Convert to fraction form
    29,216/63,200 = 63,200/x
  3. Step 3: Cross multiply
    29,216x = 63,200 × 63,200
  4. Step 4: Simplify right side
    29,216x = 3,994,240,000
  5. Step 5: Solve for x
    x = 3,994,240,000/29,216
  6. Step 6: Final answer
    x = 136,714.13

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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.