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Finding the Third Proportional to 56,475 and 75,291

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Solution

The third proportional to 56,475 and 75,291 is: 100,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,475 : 75,291 = 75,291 : x
  2. Step 2: Convert to fraction form
    56,475/75,291 = 75,291/x
  3. Step 3: Cross multiply
    56,475x = 75,291 × 75,291
  4. Step 4: Simplify right side
    56,475x = 5,668,734,681
  5. Step 5: Solve for x
    x = 5,668,734,681/56,475
  6. Step 6: Final answer
    x = 100,376.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.