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Finding the Third Proportional to 58,662 and 84,064.50

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Solution

The third proportional to 58,662 and 84,064.50 is: 120,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,662 : 84,064.50 = 84,064.50 : x
  2. Step 2: Convert to fraction form
    58,662/84,064.50 = 84,064.50/x
  3. Step 3: Cross multiply
    58,662x = 84,064.50 × 84,064.50
  4. Step 4: Simplify right side
    58,662x = 7,066,840,160.25
  5. Step 5: Solve for x
    x = 7,066,840,160.25/58,662
  6. Step 6: Final answer
    x = 120,467.09

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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.