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Finding the Third Proportional to 58,698 and 83,637

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Solution

The third proportional to 58,698 and 83,637 is: 119,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,698 : 83,637 = 83,637 : x
  2. Step 2: Convert to fraction form
    58,698/83,637 = 83,637/x
  3. Step 3: Cross multiply
    58,698x = 83,637 × 83,637
  4. Step 4: Simplify right side
    58,698x = 6,995,147,769
  5. Step 5: Solve for x
    x = 6,995,147,769/58,698
  6. Step 6: Final answer
    x = 119,171.82

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.