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Finding the Third Proportional to 58,153.75 and 125,968.63

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Solution

The third proportional to 58,153.75 and 125,968.63 is: 272,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,153.75 : 125,968.63 = 125,968.63 : x
  2. Step 2: Convert to fraction form
    58,153.75/125,968.63 = 125,968.63/x
  3. Step 3: Cross multiply
    58,153.75x = 125,968.63 × 125,968.63
  4. Step 4: Simplify right side
    58,153.75x = 15,868,094,484.39
  5. Step 5: Solve for x
    x = 15,868,094,484.39/58,153.75
  6. Step 6: Final answer
    x = 272,864.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.