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Finding the Third Proportional to 58,365 and 113,813

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Solution

The third proportional to 58,365 and 113,813 is: 221,937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,365 : 113,813 = 113,813 : x
  2. Step 2: Convert to fraction form
    58,365/113,813 = 113,813/x
  3. Step 3: Cross multiply
    58,365x = 113,813 × 113,813
  4. Step 4: Simplify right side
    58,365x = 12,953,398,969
  5. Step 5: Solve for x
    x = 12,953,398,969/58,365
  6. Step 6: Final answer
    x = 221,937.79

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.