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Finding the Third Proportional to 58,068.50 and 125,641

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Solution

The third proportional to 58,068.50 and 125,641 is: 271,845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,068.50 : 125,641 = 125,641 : x
  2. Step 2: Convert to fraction form
    58,068.50/125,641 = 125,641/x
  3. Step 3: Cross multiply
    58,068.50x = 125,641 × 125,641
  4. Step 4: Simplify right side
    58,068.50x = 15,785,660,881
  5. Step 5: Solve for x
    x = 15,785,660,881/58,068.50
  6. Step 6: Final answer
    x = 271,845.51

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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.