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Finding the Third Proportional to 58,501 and 94,212

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Solution

The third proportional to 58,501 and 94,212 is: 151,722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,501 : 94,212 = 94,212 : x
  2. Step 2: Convert to fraction form
    58,501/94,212 = 94,212/x
  3. Step 3: Cross multiply
    58,501x = 94,212 × 94,212
  4. Step 4: Simplify right side
    58,501x = 8,875,900,944
  5. Step 5: Solve for x
    x = 8,875,900,944/58,501
  6. Step 6: Final answer
    x = 151,722.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.