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Finding the Third Proportional to 58,781.25 and 84,024

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Solution

The third proportional to 58,781.25 and 84,024 is: 120,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,781.25 : 84,024 = 84,024 : x
  2. Step 2: Convert to fraction form
    58,781.25/84,024 = 84,024/x
  3. Step 3: Cross multiply
    58,781.25x = 84,024 × 84,024
  4. Step 4: Simplify right side
    58,781.25x = 7,060,032,576
  5. Step 5: Solve for x
    x = 7,060,032,576/58,781.25
  6. Step 6: Final answer
    x = 120,106.88

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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.