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Finding the Third Proportional to 58,320 and 87,464.25

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Solution

The third proportional to 58,320 and 87,464.25 is: 131,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,320 : 87,464.25 = 87,464.25 : x
  2. Step 2: Convert to fraction form
    58,320/87,464.25 = 87,464.25/x
  3. Step 3: Cross multiply
    58,320x = 87,464.25 × 87,464.25
  4. Step 4: Simplify right side
    58,320x = 7,649,995,028.06
  5. Step 5: Solve for x
    x = 7,649,995,028.06/58,320
  6. Step 6: Final answer
    x = 131,172.75

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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.