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Finding the Third Proportional to 29,160 and 63,072

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Solution

The third proportional to 29,160 and 63,072 is: 136,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,160 : 63,072 = 63,072 : x
  2. Step 2: Convert to fraction form
    29,160/63,072 = 63,072/x
  3. Step 3: Cross multiply
    29,160x = 63,072 × 63,072
  4. Step 4: Simplify right side
    29,160x = 3,978,077,184
  5. Step 5: Solve for x
    x = 3,978,077,184/29,160
  6. Step 6: Final answer
    x = 136,422.40

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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.