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Finding the Third Proportional to 29,258 and 63,124

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Solution

The third proportional to 29,258 and 63,124 is: 136,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,258 : 63,124 = 63,124 : x
  2. Step 2: Convert to fraction form
    29,258/63,124 = 63,124/x
  3. Step 3: Cross multiply
    29,258x = 63,124 × 63,124
  4. Step 4: Simplify right side
    29,258x = 3,984,639,376
  5. Step 5: Solve for x
    x = 3,984,639,376/29,258
  6. Step 6: Final answer
    x = 136,189.74

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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.