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Finding the Third Proportional to 58,660 and 84,061

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Solution

The third proportional to 58,660 and 84,061 is: 120,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,660 : 84,061 = 84,061 : x
  2. Step 2: Convert to fraction form
    58,660/84,061 = 84,061/x
  3. Step 3: Cross multiply
    58,660x = 84,061 × 84,061
  4. Step 4: Simplify right side
    58,660x = 7,066,251,721
  5. Step 5: Solve for x
    x = 7,066,251,721/58,660
  6. Step 6: Final answer
    x = 120,461.16

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Why These Related Problems?

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