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Finding the Third Proportional to 58,316 and 91,679

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Solution

The third proportional to 58,316 and 91,679 is: 144,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,316 : 91,679 = 91,679 : x
  2. Step 2: Convert to fraction form
    58,316/91,679 = 91,679/x
  3. Step 3: Cross multiply
    58,316x = 91,679 × 91,679
  4. Step 4: Simplify right side
    58,316x = 8,405,039,041
  5. Step 5: Solve for x
    x = 8,405,039,041/58,316
  6. Step 6: Final answer
    x = 144,129.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.