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Finding the Third Proportional to 49,577 and 78,416

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Solution

The third proportional to 49,577 and 78,416 is: 124,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,577 : 78,416 = 78,416 : x
  2. Step 2: Convert to fraction form
    49,577/78,416 = 78,416/x
  3. Step 3: Cross multiply
    49,577x = 78,416 × 78,416
  4. Step 4: Simplify right side
    49,577x = 6,149,069,056
  5. Step 5: Solve for x
    x = 6,149,069,056/49,577
  6. Step 6: Final answer
    x = 124,030.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.