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Finding the Third Proportional to 58,226 and 121,060

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Solution

The third proportional to 58,226 and 121,060 is: 251,700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,226 : 121,060 = 121,060 : x
  2. Step 2: Convert to fraction form
    58,226/121,060 = 121,060/x
  3. Step 3: Cross multiply
    58,226x = 121,060 × 121,060
  4. Step 4: Simplify right side
    58,226x = 14,655,523,600
  5. Step 5: Solve for x
    x = 14,655,523,600/58,226
  6. Step 6: Final answer
    x = 251,700.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.