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Finding the Third Proportional to 58,285.13 and 92,682.35

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Solution

The third proportional to 58,285.13 and 92,682.35 is: 147,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,285.13 : 92,682.35 = 92,682.35 : x
  2. Step 2: Convert to fraction form
    58,285.13/92,682.35 = 92,682.35/x
  3. Step 3: Cross multiply
    58,285.13x = 92,682.35 × 92,682.35
  4. Step 4: Simplify right side
    58,285.13x = 8,590,018,291.15
  5. Step 5: Solve for x
    x = 8,590,018,291.15/58,285.13
  6. Step 6: Final answer
    x = 147,379.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.