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Finding the Third Proportional to 45,343 and 71,492.50

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Solution

The third proportional to 45,343 and 71,492.50 is: 112,722.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,343 : 71,492.50 = 71,492.50 : x
  2. Step 2: Convert to fraction form
    45,343/71,492.50 = 71,492.50/x
  3. Step 3: Cross multiply
    45,343x = 71,492.50 × 71,492.50
  4. Step 4: Simplify right side
    45,343x = 5,111,177,556.25
  5. Step 5: Solve for x
    x = 5,111,177,556.25/45,343
  6. Step 6: Final answer
    x = 112,722.53

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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.