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Finding the Third Proportional to 58,698 and 84,114

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Solution

The third proportional to 58,698 and 84,114 is: 120,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,698 : 84,114 = 84,114 : x
  2. Step 2: Convert to fraction form
    58,698/84,114 = 84,114/x
  3. Step 3: Cross multiply
    58,698x = 84,114 × 84,114
  4. Step 4: Simplify right side
    58,698x = 7,075,164,996
  5. Step 5: Solve for x
    x = 7,075,164,996/58,698
  6. Step 6: Final answer
    x = 120,535.03

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.