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Finding the Third Proportional to 29,294 and 64,164

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Solution

The third proportional to 29,294 and 64,164 is: 140,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,294 : 64,164 = 64,164 : x
  2. Step 2: Convert to fraction form
    29,294/64,164 = 64,164/x
  3. Step 3: Cross multiply
    29,294x = 64,164 × 64,164
  4. Step 4: Simplify right side
    29,294x = 4,117,018,896
  5. Step 5: Solve for x
    x = 4,117,018,896/29,294
  6. Step 6: Final answer
    x = 140,541.37

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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.