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Finding the Third Proportional to 58,017 and 92,313

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Solution

The third proportional to 58,017 and 92,313 is: 146,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,017 : 92,313 = 92,313 : x
  2. Step 2: Convert to fraction form
    58,017/92,313 = 92,313/x
  3. Step 3: Cross multiply
    58,017x = 92,313 × 92,313
  4. Step 4: Simplify right side
    58,017x = 8,521,689,969
  5. Step 5: Solve for x
    x = 8,521,689,969/58,017
  6. Step 6: Final answer
    x = 146,882.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.