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Finding the Third Proportional to 71,619 and 157,534.50

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Solution

The third proportional to 71,619 and 157,534.50 is: 346,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,619 : 157,534.50 = 157,534.50 : x
  2. Step 2: Convert to fraction form
    71,619/157,534.50 = 157,534.50/x
  3. Step 3: Cross multiply
    71,619x = 157,534.50 × 157,534.50
  4. Step 4: Simplify right side
    71,619x = 24,817,118,690.25
  5. Step 5: Solve for x
    x = 24,817,118,690.25/71,619
  6. Step 6: Final answer
    x = 346,515.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.