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Finding the Third Proportional to 58,310 and 91,670

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Solution

The third proportional to 58,310 and 91,670 is: 144,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,310 : 91,670 = 91,670 : x
  2. Step 2: Convert to fraction form
    58,310/91,670 = 91,670/x
  3. Step 3: Cross multiply
    58,310x = 91,670 × 91,670
  4. Step 4: Simplify right side
    58,310x = 8,403,388,900
  5. Step 5: Solve for x
    x = 8,403,388,900/58,310
  6. Step 6: Final answer
    x = 144,115.74

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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.