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Finding the Third Proportional to 58,481 and 94,182

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Solution

The third proportional to 58,481 and 94,182 is: 151,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,481 : 94,182 = 94,182 : x
  2. Step 2: Convert to fraction form
    58,481/94,182 = 94,182/x
  3. Step 3: Cross multiply
    58,481x = 94,182 × 94,182
  4. Step 4: Simplify right side
    58,481x = 8,870,249,124
  5. Step 5: Solve for x
    x = 8,870,249,124/58,481
  6. Step 6: Final answer
    x = 151,677.45

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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.