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Finding the Third Proportional to 58,024 and 86,820

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Solution

The third proportional to 58,024 and 86,820 is: 129,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,024 : 86,820 = 86,820 : x
  2. Step 2: Convert to fraction form
    58,024/86,820 = 86,820/x
  3. Step 3: Cross multiply
    58,024x = 86,820 × 86,820
  4. Step 4: Simplify right side
    58,024x = 7,537,712,400
  5. Step 5: Solve for x
    x = 7,537,712,400/58,024
  6. Step 6: Final answer
    x = 129,906.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.