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Finding the Third Proportional to 58,464 and 85,509

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Solution

The third proportional to 58,464 and 85,509 is: 125,064.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,464 : 85,509 = 85,509 : x
  2. Step 2: Convert to fraction form
    58,464/85,509 = 85,509/x
  3. Step 3: Cross multiply
    58,464x = 85,509 × 85,509
  4. Step 4: Simplify right side
    58,464x = 7,311,789,081
  5. Step 5: Solve for x
    x = 7,311,789,081/58,464
  6. Step 6: Final answer
    x = 125,064.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.