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Finding the Third Proportional to 71,069.91 and 153,526.64

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Solution

The third proportional to 71,069.91 and 153,526.64 is: 331,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,069.91 : 153,526.64 = 153,526.64 : x
  2. Step 2: Convert to fraction form
    71,069.91/153,526.64 = 153,526.64/x
  3. Step 3: Cross multiply
    71,069.91x = 153,526.64 × 153,526.64
  4. Step 4: Simplify right side
    71,069.91x = 23,570,429,381.60
  5. Step 5: Solve for x
    x = 23,570,429,381.60/71,069.91
  6. Step 6: Final answer
    x = 331,651.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.